642993516 has 216 divisors, whose sum is σ = 1995542640. Its totient is φ = 173352960.

The previous prime is 642993493. The next prime is 642993521. The reversal of 642993516 is 615399246.

642993516 is a `hidden beast` number, since 6 + 4 + 299 + 351 + 6 = 666.

642993516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1406760 + ... + 1407216.

Almost surely, 2^642993516 is an apocalyptic number.

642993516 is a gapful number since it is divisible by the number (66) 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 642993516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997771320).

642993516 is an abundant number, since it is smaller than the sum of its proper divisors (1352549124).

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

642993516 is a wasteful number, since it uses less digits than its factorization.

642993516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 642993516 is about 25357.3168138902. The cubic root of 642993516 is about 863.1153979832.

The spelling of 642993516 in words is "six hundred forty-two million, nine hundred ninety-three thousand, five hundred sixteen".