45707624000 has 448 divisors, whose sum is σ = 124273543680. Its totient is φ = 16605388800.

The previous prime is 45707623963. The next prime is 45707624003. The reversal of 45707624000 is 42670754.

It is not an unprimeable number, because it can be changed into a prime (45707624003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 419335946 + ... + 419336054.

Almost surely, 2^45707624000 is an apocalyptic number.

45707624000 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 45707624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62136771840).

45707624000 is an abundant number, since it is smaller than the sum of its proper divisors (78565919680).

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

45707624000 is a wasteful number, since it uses less digits than its factorization.

45707624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The spelling of 45707624000 in words is "forty-five billion, seven hundred seven million, six hundred twenty-four thousand".