6285785664 has 56 divisors (see below), whose sum is σ = 16690470048. Its totient is φ = 2087787520.

The previous prime is 6285785657. The next prime is 6285785689. The reversal of 6285785664 is 4665875826.

It is a super-2 number, since 2×6285785664² = 79022202827495841792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4302 + ... + 112205.

It is an arithmetic number, because the mean of its divisors is an integer number (298044108).

Almost surely, 2^6285785664 is an apocalyptic number.

6285785664 is a gapful number since it is divisible by the number (64) 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 6285785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8345235024).

6285785664 is an abundant number, since it is smaller than the sum of its proper divisors (10404684384).

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

6285785664 is a wasteful number, since it uses less digits than its factorization.

6285785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116803 (or 116793 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 57.

The square root of 6285785664 is about 79282.9468675326. The cubic root of 6285785664 is about 1845.5246744822.

The spelling of 6285785664 in words is "six billion, two hundred eighty-five million, seven hundred eighty-five thousand, six hundred sixty-four".