642773376 has 288 divisors, whose sum is σ = 2199436200. Its totient is φ = 179601408.

The previous prime is 642773353. The next prime is 642773407. The reversal of 642773376 is 673377246.

642773376 is a `hidden beast` number, since 6 + 4 + 277 + 3 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×642773376² = 826315225788874752, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3330336 + ... + 3330528.

Almost surely, 2^642773376 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 642773376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099718100).

642773376 is an abundant number, since it is smaller than the sum of its proper divisors (1556662824).

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

642773376 is a wasteful number, since it uses less digits than its factorization.

642773376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 264 counting only the distinct ones).

The product of its digits is 889056, while the sum is 45.

The square root of 642773376 is about 25352.9756833394. The cubic root of 642773376 is about 863.0168858898.

The spelling of 642773376 in words is "six hundred forty-two million, seven hundred seventy-three thousand, three hundred seventy-six".