45676612800 has 1008 divisors, whose sum is σ = 207370671872. Its totient is φ = 9629798400.

The previous prime is 45676612789. The next prime is 45676612819. The reversal of 45676612800 is 821667654.

45676612800 is a `hidden beast` number, since 4 + 567 + 6 + 6 + 1 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×45676612800² (a number of 22 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 35380155 + ... + 35381445.

Almost surely, 2^45676612800 is an apocalyptic number.

45676612800 is a gapful number since it is divisible by the number (40) 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 45676612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103685335936).

45676612800 is an abundant number, since it is smaller than the sum of its proper divisors (161694059072).

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

45676612800 is a wasteful number, since it uses less digits than its factorization.

45676612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 45676612800 in words is "forty-five billion, six hundred seventy-six million, six hundred twelve thousand, eight hundred".