6232705920 has 768 divisors, whose sum is σ = 27251380800. Its totient is φ = 1337720832.

The previous prime is 6232705891. The next prime is 6232705931. The reversal of 6232705920 is 295072326.

6232705920 is a `hidden beast` number, since 62 + 3 + 2 + 7 + 0 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14394024 + ... + 14394456.

Almost surely, 2^6232705920 is an apocalyptic number.

6232705920 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 6232705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13625690400).

6232705920 is an abundant number, since it is smaller than the sum of its proper divisors (21018674880).

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

6232705920 is a wasteful number, since it uses less digits than its factorization.

6232705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6232705920 is about 78947.4883704352. The cubic root of 6232705920 is about 1840.3151949008.

The spelling of 6232705920 in words is "six billion, two hundred thirty-two million, seven hundred five thousand, nine hundred twenty".