6301825920 has 448 divisors, whose sum is σ = 24348542400. Its totient is φ = 1549725696.

The previous prime is 6301825891. The next prime is 6301825921. The reversal of 6301825920 is 295281036.

6301825920 is a `hidden beast` number, since 63 + 0 + 1 + 8 + 2 + 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 not an unprimeable number, because it can be changed into a prime (6301825921) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6064761 + ... + 6065799.

It is an arithmetic number, because the mean of its divisors is an integer number (54349425).

Almost surely, 2^6301825920 is an apocalyptic number.

6301825920 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 6301825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12174271200).

6301825920 is an abundant number, since it is smaller than the sum of its proper divisors (18046716480).

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

6301825920 is a wasteful number, since it uses less digits than its factorization.

6301825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6301825920 is about 79384.0407134835. The cubic root of 6301825920 is about 1847.0931627672.

The spelling of 6301825920 in words is "six billion, three hundred one million, eight hundred twenty-five thousand, nine hundred twenty".