64205374464 has 616 divisors, whose sum is σ = 240132554688. Its totient is φ = 16661790720.

The previous prime is 64205374439. The next prime is 64205374487. The reversal of 64205374464 is 46447350246.

It is a tau number, because it is divible by the number of its divisors (616).

It is a super-2 number, since 2×64205374464² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 57479634 + ... + 57480750.

Almost surely, 2^64205374464 is an apocalyptic number.

64205374464 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 64205374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120066277344).

64205374464 is an abundant number, since it is smaller than the sum of its proper divisors (175927180224).

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

64205374464 is a wasteful number, since it uses less digits than its factorization.

64205374464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 64205374464 in words is "sixty-four billion, two hundred five million, three hundred seventy-four thousand, four hundred sixty-four".