642195797310000 has 400 divisors, whose sum is σ = 2327184272028000. Its totient is φ = 169486718976000.

The previous prime is 642195797309981. The next prime is 642195797310013. The reversal of 642195797310000 is 13797591246.

642195797310000 is a `hidden beast` number, since 6 + 42 + 19 + 579 + 7 + 3 + 10 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×642195797310000² (a number of 30 digits) contains 22 as substring.

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

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, 13929676 + ... + 38450324.

It is an arithmetic number, because the mean of its divisors is an integer number (5817960680070).

Almost surely, 2^{642195797310000} is an apocalyptic number.

642195797310000 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 642195797310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163592136014000).

642195797310000 is an abundant number, since it is smaller than the sum of its proper divisors (1684988474718000).

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

642195797310000 is a wasteful number, since it uses less digits than its factorization.

642195797310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24520783 (or 24520756 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 642195797310000 in words is "six hundred forty-two trillion, one hundred ninety-five billion, seven hundred ninety-seven million, three hundred ten thousand".