45707684400 has 600 divisors, whose sum is σ = 197361415680. Its totient is φ = 9896670720.

The previous prime is 45707684353. The next prime is 45707684401. The reversal of 45707684400 is 448670754.

45707684400 is a `hidden beast` number, since 4 + 570 + 76 + 8 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (45707684401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4303897 + ... + 4314503.

Almost surely, 2^45707684400 is an apocalyptic number.

45707684400 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 45707684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98680707840).

45707684400 is an abundant number, since it is smaller than the sum of its proper divisors (151653731280).

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

45707684400 is a wasteful number, since it uses less digits than its factorization.

45707684400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10663 (or 10643 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 45707684400 in words is "forty-five billion, seven hundred seven million, six hundred eighty-four thousand, four hundred".