640124465356200 has 384 divisors, whose sum is σ = 2222205778298880. Its totient is φ = 151088532940800.

The previous prime is 640124465356177. The next prime is 640124465356219. The reversal of 640124465356200 is 2653564421046.

It is a super-2 number, since 2×640124465356200² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 640124465356200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85226289 + ... + 92432511.

It is an arithmetic number, because the mean of its divisors is an integer number (5786994214320).

Almost surely, 2^{640124465356200} is an apocalyptic number.

640124465356200 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 640124465356200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111102889149440).

640124465356200 is an abundant number, since it is smaller than the sum of its proper divisors (1582081312942680).

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

640124465356200 is a wasteful number, since it uses less digits than its factorization.

640124465356200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7206609 (or 7206600 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 640124465356200 in words is "six hundred forty trillion, one hundred twenty-four billion, four hundred sixty-five million, three hundred fifty-six thousand, two hundred".