642752107600 has 60 divisors (see below), whose sum is σ = 1549482568956. Its totient is φ = 256223319040.

The previous prime is 642752107597. The next prime is 642752107603. The reversal of 642752107600 is 6701257246.

It is an interprime number because it is at equal distance from previous prime (642752107597) and next prime (642752107603).

It can be written as a sum of positive squares in 6 ways, for example, as 11057784336 + 631694323264 = 105156^2 + 794792^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642752107603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2624917 + ... + 2859316.

Almost surely, 2^642752107600 is an apocalyptic number.

It is an amenable number.

642752107600 is an abundant number, since it is smaller than the sum of its proper divisors (906730461356).

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

642752107600 is a wasteful number, since it uses less digits than its factorization.

642752107600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484544 (or 5484533 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 642752107600 in words is "six hundred forty-two billion, seven hundred fifty-two million, one hundred seven thousand, six hundred".