640091344032 has 480 divisors, whose sum is σ = 2247739490304. Its totient is φ = 174838694400.

The previous prime is 640091344027. The next prime is 640091344069. The reversal of 640091344032 is 230443190046.

It is a happy number.

640091344032 is a `hidden beast` number, since 640 + 0 + 9 + 1 + 3 + 4 + 4 + 0 + 3 + 2 = 666.

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 79 ways as a sum of consecutive naturals, for example, 46677657 + ... + 46691367.

Almost surely, 2^640091344032 is an apocalyptic number.

640091344032 is a gapful number since it is divisible by the number (62) 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 640091344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123869745152).

640091344032 is an abundant number, since it is smaller than the sum of its proper divisors (1607648146272).

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

640091344032 is a wasteful number, since it uses less digits than its factorization.

640091344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13854 (or 13837 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

It can be divided in two parts, 64009 and 1344032, that added together give a palindrome (1408041).

The spelling of 640091344032 in words is "six hundred forty billion, ninety-one million, three hundred forty-four thousand, thirty-two".