642914496 has 210 divisors, whose sum is σ = 2217826908. Its totient is φ = 183617280.

The previous prime is 642914477. The next prime is 642914497. The reversal of 642914496 is 694419246.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (642914497) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 252751 + ... + 255281.

Almost surely, 2^642914496 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 642914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108913454).

642914496 is an abundant number, since it is smaller than the sum of its proper divisors (1574912412).

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

642914496 is a wasteful number, since it uses less digits than its factorization.

642914496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2543 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 642914496 is about 25355.7586358602. The cubic root of 642914496 is about 863.0800393203.

The spelling of 642914496 in words is "six hundred forty-two million, nine hundred fourteen thousand, four hundred ninety-six".