104776372800 has 672 divisors, whose sum is σ = 422096793600. Its totient is φ = 25069824000.

The previous prime is 104776372793. The next prime is 104776372837. The reversal of 104776372800 is 8273677401.

104776372800 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 7 + 637 + 2 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37539405 + ... + 37542195.

Almost surely, 2^104776372800 is an apocalyptic number.

104776372800 is a gapful number since it is divisible by the number (10) 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 104776372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211048396800).

104776372800 is an abundant number, since it is smaller than the sum of its proper divisors (317320420800).

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

104776372800 is a wasteful number, since it uses less digits than its factorization.

104776372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 104776372800 in words is "one hundred four billion, seven hundred seventy-six million, three hundred seventy-two thousand, eight hundred".