45727652880 has 480 divisors, whose sum is σ = 190405313280. Its totient is φ = 9576714240.

The previous prime is 45727652863. The next prime is 45727652899. The reversal of 45727652880 is 8825672754.

45727652880 is a `hidden beast` number, since 4 + 572 + 7 + 65 + 2 + 8 + 8 + 0 = 666.

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, 9104770 + ... + 9109790.

It is an arithmetic number, because the mean of its divisors is an integer number (396677736).

Almost surely, 2^45727652880 is an apocalyptic number.

45727652880 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 45727652880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95202656640).

45727652880 is an abundant number, since it is smaller than the sum of its proper divisors (144677660400).

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

45727652880 is a wasteful number, since it uses less digits than its factorization.

45727652880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5190 counting only the distinct ones).

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

The spelling of 45727652880 in words is "forty-five billion, seven hundred twenty-seven million, six hundred fifty-two thousand, eight hundred eighty".