6264800256 has 264 divisors, whose sum is σ = 19742971104. Its totient is φ = 1750794240.

The previous prime is 6264800249. The next prime is 6264800317. The reversal of 6264800256 is 6520084626.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5710300 + ... + 5711396.

Almost surely, 2^6264800256 is an apocalyptic number.

6264800256 is a gapful number since it is divisible by the number (66) 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 6264800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9871485552).

6264800256 is an abundant number, since it is smaller than the sum of its proper divisors (13478170848).

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

6264800256 is a wasteful number, since it uses less digits than its factorization.

6264800256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 6264800256 is about 79150.4911924114. The cubic root of 6264800256 is about 1843.4685927065.

The spelling of 6264800256 in words is "six billion, two hundred sixty-four million, eight hundred thousand, two hundred fifty-six".