642616530400 has 144 divisors (see below), whose sum is σ = 1718100190800. Its totient is φ = 233251983360.

The previous prime is 642616530397. The next prime is 642616530403. The reversal of 642616530400 is 4035616246.

It is an interprime number because it is at equal distance from previous prime (642616530397) and next prime (642616530403).

It is a self number, because there is not a number n which added to its sum of digits gives 642616530400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642616530403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89956 + ... + 1137244.

It is an arithmetic number, because the mean of its divisors is an integer number (11931251325).

Almost surely, 2^642616530400 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 642616530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859050095400).

642616530400 is an abundant number, since it is smaller than the sum of its proper divisors (1075483660400).

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

642616530400 is a wasteful number, since it uses less digits than its factorization.

642616530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047381 (or 1047368 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 642616530400 in words is "six hundred forty-two billion, six hundred sixteen million, five hundred thirty thousand, four hundred".