642507600 has 300 divisors, whose sum is σ = 2411817856. Its totient is φ = 146200320.

The previous prime is 642507583. The next prime is 642507601. The reversal of 642507600 is 6705246.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642507601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2881089 + ... + 2881311.

Almost surely, 2^642507600 is an apocalyptic number.

642507600 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 642507600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205908928).

642507600 is an abundant number, since it is smaller than the sum of its proper divisors (1769310256).

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

642507600 is a wasteful number, since it uses less digits than its factorization.

642507600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 642507600 is about 25347.7336265000. The cubic root of 642507600 is about 862.8979218271.

The spelling of 642507600 in words is "six hundred forty-two million, five hundred seven thousand, six hundred".