64627703622144 has 1600 divisors, whose sum is σ = 233380903916160. Its totient is φ = 17589117911040.

The previous prime is 64627703622143. The next prime is 64627703622149. The reversal of 64627703622144 is 44122630772646.

64627703622144 is a `hidden beast` number, since 6 + 4 + 6 + 2 + 7 + 7 + 0 + 3 + 622 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (64627703622143) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22812460152 + ... + 22812462984.

Almost surely, 2^{64627703622144} is an apocalyptic number.

64627703622144 is a gapful number since it is divisible by the number (64) 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 64627703622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116690451958080).

64627703622144 is an abundant number, since it is smaller than the sum of its proper divisors (168753200294016).

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

64627703622144 is a wasteful number, since it uses less digits than its factorization.

64627703622144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 64627703622144 in words is "sixty-four trillion, six hundred twenty-seven billion, seven hundred three million, six hundred twenty-two thousand, one hundred forty-four".