642723600 has 120 divisors (see below), whose sum is σ = 2079634752. Its totient is φ = 169664000.

The previous prime is 642723551. The next prime is 642723619. The reversal of 642723600 is 6327246.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118549 + ... + 123851.

Almost surely, 2^642723600 is an apocalyptic number.

642723600 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 642723600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039817376).

642723600 is an abundant number, since it is smaller than the sum of its proper divisors (1436911152).

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

642723600 is a wasteful number, since it uses less digits than its factorization.

642723600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 642723600 is about 25351.9940044171. The cubic root of 642723600 is about 862.9946081379.

The spelling of 642723600 in words is "six hundred forty-two million, seven hundred twenty-three thousand, six hundred".