64412908560 has 1280 divisors, whose sum is σ = 307820298240. Its totient is φ = 11956377600.

The previous prime is 64412908517. The next prime is 64412908579. The reversal of 64412908560 is 6580921446.

64412908560 is a `hidden beast` number, since 64 + 4 + 1 + 29 + 0 + 8 + 560 = 666.

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 255 ways as a sum of consecutive naturals, for example, 2077835745 + ... + 2077835775.

It is an arithmetic number, because the mean of its divisors is an integer number (240484608).

Almost surely, 2^64412908560 is an apocalyptic number.

64412908560 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 64412908560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153910149120).

64412908560 is an abundant number, since it is smaller than the sum of its proper divisors (243407389680).

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

64412908560 is a wasteful number, since it uses less digits than its factorization.

64412908560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 64412908560 in words is "sixty-four billion, four hundred twelve million, nine hundred eight thousand, five hundred sixty".