64871879184 has 640 divisors, whose sum is σ = 230156697600. Its totient is φ = 17102223360.

The previous prime is 64871879141. The next prime is 64871879197. The reversal of 64871879184 is 48197817846.

64871879184 is a `hidden beast` number, since 6 + 487 + 1 + 8 + 79 + 1 + 84 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 204642994 + ... + 204643310.

It is an arithmetic number, because the mean of its divisors is an integer number (359619840).

Almost surely, 2^64871879184 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 64871879184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115078348800).

64871879184 is an abundant number, since it is smaller than the sum of its proper divisors (165284818416).

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

64871879184 is a wasteful number, since it uses less digits than its factorization.

64871879184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The spelling of 64871879184 in words is "sixty-four billion, eight hundred seventy-one million, eight hundred seventy-nine thousand, one hundred eighty-four".