642495016800 has 2592 divisors, whose sum is σ = 3058513305120. Its totient is φ = 125411328000.

The previous prime is 642495016769. The next prime is 642495016843. The reversal of 642495016800 is 8610594246.

642495016800 is a `hidden beast` number, since 6 + 42 + 49 + 501 + 68 + 0 + 0 = 666.

It is a super-2 number, since 2×642495016800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6361336750 + ... + 6361336850.

It is an arithmetic number, because the mean of its divisors is an integer number (1179981985).

Almost surely, 2^642495016800 is an apocalyptic number.

642495016800 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 642495016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529256652560).

642495016800 is an abundant number, since it is smaller than the sum of its proper divisors (2416018288320).

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

642495016800 is a wasteful number, since it uses less digits than its factorization.

642495016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 642495016800 in words is "six hundred forty-two billion, four hundred ninety-five million, sixteen thousand, eight hundred".