664560599040 has 1008 divisors, whose sum is σ = 2599330296528. Its totient is φ = 162055323648.

The previous prime is 664560599023. The next prime is 664560599057. The reversal of 664560599040 is 40995065466.

664560599040 is a `hidden beast` number, since 6 + 6 + 4 + 5 + 6 + 0 + 599 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (664560599023) and next prime (664560599057).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 6210846667 + ... + 6210846773.

It is an arithmetic number, because the mean of its divisors is an integer number (2578700691).

Almost surely, 2^664560599040 is an apocalyptic number.

664560599040 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 664560599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299665148264).

664560599040 is an abundant number, since it is smaller than the sum of its proper divisors (1934769697488).

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

664560599040 is an frugal number, since it uses more digits than its factorization.

664560599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 664560599040 in words is "six hundred sixty-four billion, five hundred sixty million, five hundred ninety-nine thousand, forty".