46127600064 has 560 divisors, whose sum is σ = 169377286848. Its totient is φ = 12087263232.

The previous prime is 46127600027. The next prime is 46127600087. The reversal of 46127600064 is 46000672164.

46127600064 is a `hidden beast` number, since 46 + 1 + 2 + 7 + 600 + 0 + 6 + 4 = 666.

46127600064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130672912 + ... + 130673264.

Almost surely, 2^46127600064 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 46127600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84688643424).

46127600064 is an abundant number, since it is smaller than the sum of its proper divisors (123249686784).

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

46127600064 is a wasteful number, since it uses less digits than its factorization.

46127600064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 46127600064 in words is "forty-six billion, one hundred twenty-seven million, six hundred thousand, sixty-four".