8757672009408 has 840 divisors, whose sum is σ = 31195066621680. Its totient is φ = 2340722442240.

The previous prime is 8757672009403. The next prime is 8757672009433. The reversal of 8757672009408 is 8049002767578.

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

It is not an unprimeable number, because it can be changed into a prime (8757672009403) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4208394928 + ... + 4208397008.

Almost surely, 2^{8757672009408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8757672009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15597533310840).

8757672009408 is an abundant number, since it is smaller than the sum of its proper divisors (22437394612272).

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

8757672009408 is a wasteful number, since it uses less digits than its factorization.

8757672009408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 8757672009408 in words is "eight trillion, seven hundred fifty-seven billion, six hundred seventy-two million, nine thousand, four hundred eight".