642095838720 has 800 divisors, whose sum is σ = 2644551505728. Its totient is φ = 145859346432.

The previous prime is 642095838707. The next prime is 642095838739. The reversal of 642095838720 is 27838590246.

642095838720 is a `hidden beast` number, since 6 + 4 + 209 + 58 + 387 + 2 + 0 = 666.

It is a super-2 number, since 2×642095838720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 251111682 + ... + 251114238.

Almost surely, 2^642095838720 is an apocalyptic number.

642095838720 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 642095838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322275752864).

642095838720 is an abundant number, since it is smaller than the sum of its proper divisors (2002455667008).

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

642095838720 is a wasteful number, since it uses less digits than its factorization.

642095838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 642095838720 in words is "six hundred forty-two billion, ninety-five million, eight hundred thirty-eight thousand, seven hundred twenty".