8740289759040 has 1120 divisors, whose sum is σ = 35853377624064. Its totient is φ = 1979826831360.

The previous prime is 8740289759023. The next prime is 8740289759059. The reversal of 8740289759040 is 409579820478.

8740289759040 is a `hidden beast` number, since 87 + 402 + 89 + 75 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13635397120 + ... + 13635397760.

Almost surely, 2^{8740289759040} is an apocalyptic number.

8740289759040 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 8740289759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926688812032).

8740289759040 is an abundant number, since it is smaller than the sum of its proper divisors (27113087865024).

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

8740289759040 is a wasteful number, since it uses less digits than its factorization.

8740289759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 8740289759040 in words is "eight trillion, seven hundred forty billion, two hundred eighty-nine million, seven hundred fifty-nine thousand, forty".