640220987034720 has 1728 divisors, whose sum is σ = 2929829561568000. Its totient is φ = 125800953126912.

The previous prime is 640220987034689. The next prime is 640220987034721. The reversal of 640220987034720 is 27430789022046.

640220987034720 is a `hidden beast` number, since 6 + 4 + 0 + 2 + 209 + 8 + 70 + 347 + 20 = 666.

It is a super-2 number, since 2×640220987034720² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640220987034721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1027959571 + ... + 1028582189.

It is an arithmetic number, because the mean of its divisors is an integer number (1695503218500).

Almost surely, 2^{640220987034720} is an apocalyptic number.

640220987034720 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 640220987034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464914780784000).

640220987034720 is an abundant number, since it is smaller than the sum of its proper divisors (2289608574533280).

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

640220987034720 is a wasteful number, since it uses less digits than its factorization.

640220987034720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622745 (or 622727 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 640220987034720 in words is "six hundred forty trillion, two hundred twenty billion, nine hundred eighty-seven million, thirty-four thousand, seven hundred twenty".