64627472646 has 128 divisors (see below), whose sum is σ = 167990630400. Its totient is φ = 18198535680.

The previous prime is 64627472639. The next prime is 64627472659.

64627472646 is a `hidden beast` number, since 6 + 4 + 627 + 4 + 7 + 2 + 6 + 4 + 6 = 666.

64627472646 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 64627472592 and 64627472601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 757236 + ... + 838248.

It is an arithmetic number, because the mean of its divisors is an integer number (1312426800).

Almost surely, 2^64627472646 is an apocalyptic number.

64627472646 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64627472646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83995315200).

64627472646 is an abundant number, since it is smaller than the sum of its proper divisors (103363157754).

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

64627472646 is a wasteful number, since it uses less digits than its factorization.

64627472646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81131 (or 81125 counting only the distinct ones).

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

The spelling of 64627472646 in words is "sixty-four billion, six hundred twenty-seven million, four hundred seventy-two thousand, six hundred forty-six".