8056367406900 has 216 divisors, whose sum is σ = 25541269004160. Its totient is φ = 2123784875520.

The previous prime is 8056367406883. The next prime is 8056367407069. The reversal of 8056367406900 is 96047636508.

8056367406900 is a `hidden beast` number, since 8 + 0 + 563 + 6 + 74 + 0 + 6 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×8056367406900² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 604508037 + ... + 604521363.

It is an arithmetic number, because the mean of its divisors is an integer number (118246615760).

Almost surely, 2^{8056367406900} 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 8056367406900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12770634502080).

8056367406900 is an abundant number, since it is smaller than the sum of its proper divisors (17484901597260).

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

8056367406900 is a wasteful number, since it uses less digits than its factorization.

8056367406900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20983 (or 20973 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 8056367406900 in words is "eight trillion, fifty-six billion, three hundred sixty-seven million, four hundred six thousand, nine hundred".