6265633920 has 768 divisors, whose sum is σ = 25786252800. Its totient is φ = 1281982464.

The previous prime is 6265633919. The next prime is 6265633937. The reversal of 6265633920 is 293365626.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 57482826 + ... + 57482934.

It is an arithmetic number, because the mean of its divisors is an integer number (33575850).

Almost surely, 2^6265633920 is an apocalyptic number.

6265633920 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 6265633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893126400).

6265633920 is an abundant number, since it is smaller than the sum of its proper divisors (19520618880).

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

6265633920 is a wasteful number, since it uses less digits than its factorization.

6265633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The square root of 6265633920 is about 79155.7573395644. The cubic root of 6265633920 is about 1843.5503598911.

The spelling of 6265633920 in words is "six billion, two hundred sixty-five million, six hundred thirty-three thousand, nine hundred twenty".