640864224000 has 4320 divisors, whose sum is σ = 3389090664960. Its totient is φ = 116453376000.

The previous prime is 640864223977. The next prime is 640864224017. The reversal of 640864224000 is 422468046.

It is a happy number.

640864224000 is a `hidden beast` number, since 6 + 4 + 0 + 8 + 642 + 2 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 33729695991 + ... + 33729696009.

It is an arithmetic number, because the mean of its divisors is an integer number (784511728).

Almost surely, 2^640864224000 is an apocalyptic number.

640864224000 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 640864224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694545332480).

640864224000 is an abundant number, since it is smaller than the sum of its proper divisors (2748226440960).

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

640864224000 is a wasteful number, since it uses less digits than its factorization.

640864224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 640864224000 in words is "six hundred forty billion, eight hundred sixty-four million, two hundred twenty-four thousand".