45764570880 has 432 divisors, whose sum is σ = 186808387584. Its totient is φ = 10122485760.

The previous prime is 45764570867. The next prime is 45764570909. The reversal of 45764570880 is 8807546754.

45764570880 is a `hidden beast` number, since 4 + 5 + 7 + 64 + 570 + 8 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2490687 + ... + 2508993.

Almost surely, 2^45764570880 is an apocalyptic number.

45764570880 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 45764570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93404193792).

45764570880 is an abundant number, since it is smaller than the sum of its proper divisors (141043816704).

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

45764570880 is a wasteful number, since it uses less digits than its factorization.

45764570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18372 (or 18355 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 45764570880 in words is "forty-five billion, seven hundred sixty-four million, five hundred seventy thousand, eight hundred eighty".