640036288032 has 192 divisors, whose sum is σ = 1775179800576. Its totient is φ = 201650964480.

The previous prime is 640036288019. The next prime is 640036288039. The reversal of 640036288032 is 230882630046.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (640036288039) 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, 22362243 + ... + 22390845.

It is an arithmetic number, because the mean of its divisors is an integer number (9245728128).

Almost surely, 2^640036288032 is an apocalyptic number.

640036288032 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 640036288032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887589900288).

640036288032 is an abundant number, since it is smaller than the sum of its proper divisors (1135143512544).

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

640036288032 is a wasteful number, since it uses less digits than its factorization.

640036288032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28823 (or 28815 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 640036288032 in words is "six hundred forty billion, thirty-six million, two hundred eighty-eight thousand, thirty-two".