642108631840 has 576 divisors, whose sum is σ = 1764103017600. Its totient is φ = 220358541312.

The previous prime is 642108631817. The next prime is 642108631903. The reversal of 642108631840 is 48136801246.

It is a super-3 number, since 3×642108631840³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4619486491 + ... + 4619486629.

It is an arithmetic number, because the mean of its divisors is an integer number (3062678850).

Almost surely, 2^642108631840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642108631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882051508800).

642108631840 is an abundant number, since it is smaller than the sum of its proper divisors (1121994385760).

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

642108631840 is a wasteful number, since it uses less digits than its factorization.

642108631840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 642108631840 in words is "six hundred forty-two billion, one hundred eight million, six hundred thirty-one thousand, eight hundred forty".