642960360 has 384 divisors, whose sum is σ = 2515968000. Its totient is φ = 142248960.

The previous prime is 642960337. The next prime is 642960391. The reversal of 642960360 is 63069246.

642960360 is a `hidden beast` number, since 6 + 4 + 296 + 0 + 360 = 666.

642960360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 5062617 + ... + 5062743.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2^642960360 is an apocalyptic number.

642960360 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 642960360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257984000).

642960360 is an abundant number, since it is smaller than the sum of its proper divisors (1873007640).

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

642960360 is a wasteful number, since it uses less digits than its factorization.

642960360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 642960360 is about 25356.6630296654. The cubic root of 642960360 is about 863.1005621954.

The spelling of 642960360 in words is "six hundred forty-two million, nine hundred sixty thousand, three hundred sixty".