64718875584 has 420 divisors, whose sum is σ = 216439769304. Its totient is φ = 18963072000.

The previous prime is 64718875561. The next prime is 64718875597. The reversal of 64718875584 is 48557881746.

It is a happy number.

64718875584 is a `hidden beast` number, since 6 + 4 + 71 + 8 + 8 + 7 + 558 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54799474 + ... + 54800654.

Almost surely, 2^64718875584 is an apocalyptic number.

64718875584 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 64718875584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108219884652).

64718875584 is an abundant number, since it is smaller than the sum of its proper divisors (151720893720).

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

64718875584 is a wasteful number, since it uses less digits than its factorization.

64718875584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1228 counting only the distinct ones).

The product of its digits is 60211200, while the sum is 63.

The spelling of 64718875584 in words is "sixty-four billion, seven hundred eighteen million, eight hundred seventy-five thousand, five hundred eighty-four".