7641237240 has 384 divisors, whose sum is σ = 31315939200. Its totient is φ = 1572618240.

The previous prime is 7641237203. The next prime is 7641237251. The reversal of 7641237240 is 427321467.

7641237240 is a `hidden beast` number, since 7 + 641 + 2 + 3 + 7 + 2 + 4 + 0 = 666.

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 = 7641237195 and 7641237204.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1340316 + ... + 1346004.

It is an arithmetic number, because the mean of its divisors is an integer number (81551925).

Almost surely, 2^7641237240 is an apocalyptic number.

7641237240 is a gapful number since it is divisible by the number (70) 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 7641237240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15657969600).

7641237240 is an abundant number, since it is smaller than the sum of its proper divisors (23674701960).

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

7641237240 is a wasteful number, since it uses less digits than its factorization.

7641237240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7641237240 is about 87414.1707047547. The cubic root of 7641237240 is about 1969.6447124834.

The spelling of 7641237240 in words is "seven billion, six hundred forty-one million, two hundred thirty-seven thousand, two hundred forty".