8378656796160 has 5760 divisors, whose sum is σ = 41811953863680. Its totient is φ = 1589212348416.

The previous prime is 8378656796099. The next prime is 8378656796231. The reversal of 8378656796160 is 616976568738.

8378656796160 is a `hidden beast` number, since 8 + 378 + 6 + 5 + 6 + 7 + 96 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 226450183662 + ... + 226450183698.

It is an arithmetic number, because the mean of its divisors is an integer number (7259019768).

Almost surely, 2^{8378656796160} is an apocalyptic number.

8378656796160 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 8378656796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20905976931840).

8378656796160 is an abundant number, since it is smaller than the sum of its proper divisors (33433297067520).

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

8378656796160 is a wasteful number, since it uses less digits than its factorization.

8378656796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 8378656796160 in words is "eight trillion, three hundred seventy-eight billion, six hundred fifty-six million, seven hundred ninety-six thousand, one hundred sixty".