6385909920 has 384 divisors, whose sum is σ = 23571668736. Its totient is φ = 1438580736.

The previous prime is 6385909891. The next prime is 6385909961. The reversal of 6385909920 is 299095836.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3924147 + ... + 3925773.

It is an arithmetic number, because the mean of its divisors is an integer number (61384554).

Almost surely, 2^6385909920 is an apocalyptic number.

6385909920 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 6385909920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11785834368).

6385909920 is an abundant number, since it is smaller than the sum of its proper divisors (17185758816).

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

6385909920 is a wasteful number, since it uses less digits than its factorization.

6385909920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The square root of 6385909920 is about 79911.8884772472. Note that the first 3 decimals coincide. The cubic root of 6385909920 is about 1855.2720248747.

The spelling of 6385909920 in words is "six billion, three hundred eighty-five million, nine hundred nine thousand, nine hundred twenty".