642529253520 has 1200 divisors, whose sum is σ = 2824140743424. Its totient is φ = 132523776000.

The previous prime is 642529253519. The next prime is 642529253533. The reversal of 642529253520 is 25352925246.

642529253520 is a `hidden beast` number, since 6 + 4 + 2 + 5 + 2 + 92 + 535 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 916589170 + ... + 916589870.

Almost surely, 2^642529253520 is an apocalyptic number.

642529253520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642529253520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412070371712).

642529253520 is an abundant number, since it is smaller than the sum of its proper divisors (2181611489904).

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

642529253520 is a wasteful number, since it uses less digits than its factorization.

642529253520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 642529253520 in words is "six hundred forty-two billion, five hundred twenty-nine million, two hundred fifty-three thousand, five hundred twenty".