64514640960 has 1344 divisors, whose sum is σ = 297503331840. Its totient is φ = 12421693440.

The previous prime is 64514640959. The next prime is 64514640979. The reversal of 64514640960 is 6904641546.

It is a happy number.

64514640960 is a `hidden beast` number, since 6 + 4 + 514 + 6 + 40 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 410921202 + ... + 410921358.

Almost surely, 2^64514640960 is an apocalyptic number.

64514640960 is a gapful number since it is divisible by the number (60) 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 64514640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148751665920).

64514640960 is an abundant number, since it is smaller than the sum of its proper divisors (232988690880).

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

64514640960 is a wasteful number, since it uses less digits than its factorization.

64514640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 64514640960 in words is "sixty-four billion, five hundred fourteen million, six hundred forty thousand, nine hundred sixty".