640992000 has 288 divisors, whose sum is σ = 2326431744. Its totient is φ = 155136000.

The previous prime is 640991977. The next prime is 640992007. The reversal of 640992000 is 299046.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (640992007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055697 + ... + 1056303.

It is an arithmetic number, because the mean of its divisors is an integer number (8077888).

Almost surely, 2^640992000 is an apocalyptic number.

640992000 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 640992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163215872).

640992000 is an abundant number, since it is smaller than the sum of its proper divisors (1685439744).

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

640992000 is a wasteful number, since it uses less digits than its factorization.

640992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 640992000 is about 25317.8198113503. The cubic root of 640992000 is about 862.2188960008.

The spelling of 640992000 in words is "six hundred forty million, nine hundred ninety-two thousand".