8978495416320 has 384 divisors, whose sum is σ = 29215143659520. Its totient is φ = 2353542266880.

The previous prime is 8978495416309. The next prime is 8978495416379. The reversal of 8978495416320 is 236145948798.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×8978495416320² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756842709 + ... + 756854571.

It is an arithmetic number, because the mean of its divisors is an integer number (76081103280).

It is a 2-persistent number, because it is pandigital, and so is 2⋅8978495416320 = 17956990832640, but 3⋅8978495416320 = 26935486248960 is not.

Almost surely, 2^{8978495416320} is an apocalyptic number.

8978495416320 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 8978495416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14607571829760).

8978495416320 is an abundant number, since it is smaller than the sum of its proper divisors (20236648243200).

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

8978495416320 is a wasteful number, since it uses less digits than its factorization.

8978495416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12311 (or 12291 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 8978495416320 in words is "eight trillion, nine hundred seventy-eight billion, four hundred ninety-five million, four hundred sixteen thousand, three hundred twenty".