64587468960 has 480 divisors, whose sum is σ = 275833071360. Its totient is φ = 13894115328.

The previous prime is 64587468947. The next prime is 64587468973. The reversal of 64587468960 is 6986478546.

64587468960 is a `hidden beast` number, since 6 + 4 + 5 + 87 + 468 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64587468947) and next prime (64587468973).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×64587468960² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1521301 + ... + 1563179.

It is an arithmetic number, because the mean of its divisors is an integer number (574652232).

Almost surely, 2^64587468960 is an apocalyptic number.

64587468960 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 64587468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137916535680).

64587468960 is an abundant number, since it is smaller than the sum of its proper divisors (211245602400).

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

64587468960 is a wasteful number, since it uses less digits than its factorization.

64587468960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41930 (or 41913 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 64587468960 in words is "sixty-four billion, five hundred eighty-seven million, four hundred sixty-eight thousand, nine hundred sixty".