6268925664 has 288 divisors, whose sum is σ = 19659144960. Its totient is φ = 1959552000.

The previous prime is 6268925647. The next prime is 6268925687. The reversal of 6268925664 is 4665298626.

It is a happy number.

6268925664 is a `hidden beast` number, since 626 + 8 + 9 + 2 + 5 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6268925664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22309204 + ... + 22309484.

It is an arithmetic number, because the mean of its divisors is an integer number (68260920).

Almost surely, 2^6268925664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6268925664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9829572480).

6268925664 is an abundant number, since it is smaller than the sum of its proper divisors (13390219296).

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

6268925664 is a wasteful number, since it uses less digits than its factorization.

6268925664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 456 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 6268925664 is about 79176.5474367252. The cubic root of 6268925664 is about 1843.8731489070.

The spelling of 6268925664 in words is "six billion, two hundred sixty-eight million, nine hundred twenty-five thousand, six hundred sixty-four".