642757488 has 160 divisors (see below), whose sum is σ = 1840507200. Its totient is φ = 192430080.

The previous prime is 642757487. The next prime is 642757499. The reversal of 642757488 is 884757246.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 642757488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642757483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1841538 + ... + 1841886.

It is an arithmetic number, because the mean of its divisors is an integer number (11503170).

Almost surely, 2^642757488 is an apocalyptic number.

642757488 is a gapful number since it is divisible by the number (68) 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 642757488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920253600).

642757488 is an abundant number, since it is smaller than the sum of its proper divisors (1197749712).

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

642757488 is a wasteful number, since it uses less digits than its factorization.

642757488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 51.

The square root of 642757488 is about 25352.6623454027. The cubic root of 642757488 is about 863.0097751798.

The spelling of 642757488 in words is "six hundred forty-two million, seven hundred fifty-seven thousand, four hundred eighty-eight".