642757632 has 176 divisors, whose sum is σ = 1952543232. Its totient is φ = 186081280.

The previous prime is 642757603. The next prime is 642757651. The reversal of 642757632 is 236757246.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

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, 776803 + ... + 777629.

Almost surely, 2^642757632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642757632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976271616).

642757632 is an abundant number, since it is smaller than the sum of its proper divisors (1309785600).

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

642757632 is a wasteful number, since it uses less digits than its factorization.

642757632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 866 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 642757632 is about 25352.6651853410. The cubic root of 642757632 is about 863.0098396278.

The spelling of 642757632 in words is "six hundred forty-two million, seven hundred fifty-seven thousand, six hundred thirty-two".