642635623344 has 160 divisors (see below), whose sum is σ = 1969689431808. Its totient is φ = 177978240000.

The previous prime is 642635623337. The next prime is 642635623351. The reversal of 642635623344 is 443326536246.

It is an interprime number because it is at equal distance from previous prime (642635623337) and next prime (642635623351).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 642635623293 and 642635623302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229779 + ... + 1156749.

Almost surely, 2^642635623344 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 642635623344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984844715904).

642635623344 is an abundant number, since it is smaller than the sum of its proper divisors (1327053808464).

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

642635623344 is a wasteful number, since it uses less digits than its factorization.

642635623344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927107 (or 927101 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 48.

The spelling of 642635623344 in words is "six hundred forty-two billion, six hundred thirty-five million, six hundred twenty-three thousand, three hundred forty-four".