8740124640 has 384 divisors, whose sum is σ = 34681651200. Its totient is φ = 2037934080.

The previous prime is 8740124639. The next prime is 8740124641. The reversal of 8740124640 is 464210478.

8740124640 is a `hidden beast` number, since 8 + 7 + 4 + 0 + 1 + 2 + 4 + 640 = 666.

8740124640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8740124639) and next prime (8740124641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8740124595 and 8740124604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8740124641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1062945 + ... + 1071135.

It is an arithmetic number, because the mean of its divisors is an integer number (90316800).

Almost surely, 2^8740124640 is an apocalyptic number.

8740124640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8740124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17340825600).

8740124640 is an abundant number, since it is smaller than the sum of its proper divisors (25941526560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8740124640 is a wasteful number, since it uses less digits than its factorization.

8740124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8740124640 is about 93488.6337476380. The cubic root of 8740124640 is about 2059.8671356794.

The spelling of 8740124640 in words is "eight billion, seven hundred forty million, one hundred twenty-four thousand, six hundred forty".