642792192000 has 2304 divisors, whose sum is σ = 2796498432000. Its totient is φ = 130056192000.

The previous prime is 642792191927. The next prime is 642792192011. The reversal of 642792192000 is 291297246.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20735231985 + ... + 20735232015.

It is an arithmetic number, because the mean of its divisors is an integer number (1213758000).

Almost surely, 2^642792192000 is an apocalyptic number.

642792192000 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 642792192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398249216000).

642792192000 is an abundant number, since it is smaller than the sum of its proper divisors (2153706240000).

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

642792192000 is a wasteful number, since it uses less digits than its factorization.

642792192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 642792192000 in words is "six hundred forty-two billion, seven hundred ninety-two million, one hundred ninety-two thousand".