642746112 has 72 divisors (see below), whose sum is σ = 1750514304. Its totient is φ = 209255424.

The previous prime is 642746099. The next prime is 642746113. The reversal of 642746112 is 211647246.

It is a super-2 number, since 2×642746112² = 826245128982233088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642746113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23293 + ... + 42755.

Almost surely, 2^642746112 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 642746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875257152).

642746112 is an abundant number, since it is smaller than the sum of its proper divisors (1107768192).

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

642746112 is a wasteful number, since it uses less digits than its factorization.

642746112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19525 (or 19511 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 642746112 is about 25352.4379892743. The cubic root of 642746112 is about 863.0046837535.

The spelling of 642746112 in words is "six hundred forty-two million, seven hundred forty-six thousand, one hundred twelve".