640296960 has 192 divisors, whose sum is σ = 2158228800. Its totient is φ = 161611776.

The previous prime is 640296949. The next prime is 640296973. The reversal of 640296960 is 69692046.

640296960 = 2549² + 2550² + ... + 2643².

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583132 + ... + 584228.

It is an arithmetic number, because the mean of its divisors is an integer number (11240775).

Almost surely, 2^640296960 is an apocalyptic number.

640296960 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 640296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079114400).

640296960 is an abundant number, since it is smaller than the sum of its proper divisors (1517931840).

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

640296960 is a wasteful number, since it uses less digits than its factorization.

640296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 640296960 is about 25304.0897880165. The cubic root of 640296960 is about 861.9071430957.

The spelling of 640296960 in words is "six hundred forty million, two hundred ninety-six thousand, nine hundred sixty".