664007984640 has 2400 divisors, whose sum is σ = 3257330829984. Its totient is φ = 127083479040.

The previous prime is 664007984611. The next prime is 664007984641. The reversal of 664007984640 is 46489700466.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664007984641) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1452971292 + ... + 1452971748.

Almost surely, 2^664007984640 is an apocalyptic number.

664007984640 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 664007984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628665414992).

664007984640 is an abundant number, since it is smaller than the sum of its proper divisors (2593322845344).

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

664007984640 is a wasteful number, since it uses less digits than its factorization.

664007984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 664007984640 in words is "six hundred sixty-four billion, seven million, nine hundred eighty-four thousand, six hundred forty".