642123504 has 160 divisors (see below), whose sum is σ = 2025465600. Its totient is φ = 193155840.

The previous prime is 642123463. The next prime is 642123551. The reversal of 642123504 is 405321246.

642123504 is a `hidden beast` number, since 6 + 421 + 235 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774162 + ... + 774990.

It is an arithmetic number, because the mean of its divisors is an integer number (12659160).

Almost surely, 2^642123504 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 642123504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012732800).

642123504 is an abundant number, since it is smaller than the sum of its proper divisors (1383342096).

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

642123504 is a wasteful number, since it uses less digits than its factorization.

642123504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 642123504 is about 25340.1559584782. The cubic root of 642123504 is about 862.7259385401.

The spelling of 642123504 in words is "six hundred forty-two million, one hundred twenty-three thousand, five hundred four".