9078607872000 has 1024 divisors, whose sum is σ = 33938615692800. Its totient is φ = 2394449510400.

The previous prime is 9078607871989. The next prime is 9078607872007. The reversal of 9078607872000 is 2787068709.

9078607872000 is a `hidden beast` number, since 9 + 0 + 7 + 8 + 607 + 8 + 7 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×9078607872000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9078607872007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11390975602 + ... + 11390976398.

Almost surely, 2^{9078607872000} is an apocalyptic number.

9078607872000 is a gapful number since it is divisible by the number (90) 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 9078607872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16969307846400).

9078607872000 is an abundant number, since it is smaller than the sum of its proper divisors (24860007820800).

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

9078607872000 is an equidigital number, since it uses as much as digits as its factorization.

9078607872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 9078607872000 in words is "nine trillion, seventy-eight billion, six hundred seven million, eight hundred seventy-two thousand".