642714000 has 80 divisors (see below), whose sum is σ = 2072129280. Its totient is φ = 171388800.

The previous prime is 642713993. The next prime is 642714043. The reversal of 642714000 is 417246.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47560 + ... + 59559.

It is an arithmetic number, because the mean of its divisors is an integer number (25901616).

Almost surely, 2^642714000 is an apocalyptic number.

642714000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642714000 is an abundant number, since it is smaller than the sum of its proper divisors (1429415280).

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

642714000 is a wasteful number, since it uses less digits than its factorization.

642714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107145 (or 107129 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 642714000 is about 25351.8046694905. The cubic root of 642714000 is about 862.9903114285.

The spelling of 642714000 in words is "six hundred forty-two million, seven hundred fourteen thousand".