45727358976 has 784 divisors, whose sum is σ = 160443306240. Its totient is φ = 12899450880.

The previous prime is 45727358959. The next prime is 45727358977. The reversal of 45727358976 is 67985372754.

45727358976 is a `hidden beast` number, since 4 + 572 + 7 + 3 + 58 + 9 + 7 + 6 = 666.

It is a super-3 number, since 3×45727358976³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (45727358977) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1475076081 + ... + 1475076111.

Almost surely, 2^45727358976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45727358976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80221653120).

45727358976 is an abundant number, since it is smaller than the sum of its proper divisors (114715947264).

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

45727358976 is an equidigital number, since it uses as much as digits as its factorization.

45727358976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 68 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 63.

The spelling of 45727358976 in words is "forty-five billion, seven hundred twenty-seven million, three hundred fifty-eight thousand, nine hundred seventy-six".