45755662680 has 384 divisors, whose sum is σ = 183386286720. Its totient is φ = 9634775040.

The previous prime is 45755662669. The next prime is 45755662699. The reversal of 45755662680 is 8626655754.

45755662680 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 5 + 6 + 626 + 8 + 0 = 666.

It is a congruent number.

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, 21653304 + ... + 21655416.

It is an arithmetic number, because the mean of its divisors is an integer number (477568455).

Almost surely, 2^45755662680 is an apocalyptic number.

45755662680 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 45755662680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91693143360).

45755662680 is an abundant number, since it is smaller than the sum of its proper divisors (137630624040).

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

45755662680 is a wasteful number, since it uses less digits than its factorization.

45755662680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 45755662680 in words is "forty-five billion, seven hundred fifty-five million, six hundred sixty-two thousand, six hundred eighty".