640022363136 has 880 divisors, whose sum is σ = 2143154369664. Its totient is φ = 189000843264.

The previous prime is 640022363131. The next prime is 640022363213. The reversal of 640022363136 is 631363220046.

640022363136 is a `hidden beast` number, since 6 + 400 + 2 + 236 + 3 + 13 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 640022363136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640022363131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3699551146 + ... + 3699551318.

Almost surely, 2^640022363136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640022363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071577184832).

640022363136 is an abundant number, since it is smaller than the sum of its proper divisors (1503132006528).

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

640022363136 is a wasteful number, since it uses less digits than its factorization.

640022363136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 640022363136 in words is "six hundred forty billion, twenty-two million, three hundred sixty-three thousand, one hundred thirty-six".