642092613120 has 720 divisors, whose sum is σ = 2642064879168. Its totient is φ = 143629516800.

The previous prime is 642092613091. The next prime is 642092613131. The reversal of 642092613120 is 21316290246.

It is a happy number.

642092613120 is a `hidden beast` number, since 6 + 4 + 20 + 9 + 2 + 613 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×642092613120² (a number of 24 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 53055070 + ... + 53067170.

Almost surely, 2^642092613120 is an apocalyptic number.

642092613120 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 642092613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321032439584).

642092613120 is an abundant number, since it is smaller than the sum of its proper divisors (1999972266048).

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

642092613120 is a wasteful number, since it uses less digits than its factorization.

642092613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12191 (or 12165 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 642092613120 in words is "six hundred forty-two billion, ninety-two million, six hundred thirteen thousand, one hundred twenty".