642348688320 has 1344 divisors, whose sum is σ = 2604472206336. Its totient is φ = 149776957440.

The previous prime is 642348688207. The next prime is 642348688381. The reversal of 642348688320 is 23886843246.

642348688320 is a `hidden beast` number, since 6 + 4 + 234 + 8 + 6 + 88 + 320 = 666.

642348688320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×642348688320² (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 191 ways as a sum of consecutive naturals, for example, 1124953635 + ... + 1124954205.

It is an arithmetic number, because the mean of its divisors is an integer number (1937851344).

Almost surely, 2^642348688320 is an apocalyptic number.

642348688320 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 642348688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302236103168).

642348688320 is an abundant number, since it is smaller than the sum of its proper divisors (1962123518016).

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

642348688320 is a wasteful number, since it uses less digits than its factorization.

642348688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 642348688320 in words is "six hundred forty-two billion, three hundred forty-eight million, six hundred eighty-eight thousand, three hundred twenty".