45766125360 has 640 divisors, whose sum is σ = 173238912000. Its totient is φ = 11064729600.

The previous prime is 45766125311. The next prime is 45766125407. The reversal of 45766125360 is 6352166754.

45766125360 is a `hidden beast` number, since 4 + 57 + 6 + 61 + 2 + 536 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 99275530 + ... + 99275990.

It is an arithmetic number, because the mean of its divisors is an integer number (270685800).

Almost surely, 2^45766125360 is an apocalyptic number.

45766125360 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 45766125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86619456000).

45766125360 is an abundant number, since it is smaller than the sum of its proper divisors (127472786640).

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

45766125360 is a wasteful number, since it uses less digits than its factorization.

45766125360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 45766125360 in words is "forty-five billion, seven hundred sixty-six million, one hundred twenty-five thousand, three hundred sixty".