6450260256 has 384 divisors, whose sum is σ = 21250252800. Its totient is φ = 1902700800.

The previous prime is 6450260251. The next prime is 6450260281. The reversal of 6450260256 is 6520620546.

6450260256 is a `hidden beast` number, since 6 + 45 + 0 + 2 + 602 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6450260256.

It is not an unprimeable number, because it can be changed into a prime (6450260251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81648825 + ... + 81648903.

It is an arithmetic number, because the mean of its divisors is an integer number (55339200).

Almost surely, 2^6450260256 is an apocalyptic number.

6450260256 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 6450260256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10625126400).

6450260256 is an abundant number, since it is smaller than the sum of its proper divisors (14799992544).

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

6450260256 is a wasteful number, since it uses less digits than its factorization.

6450260256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6450260256 is about 80313.5122877838. The cubic root of 6450260256 is about 1861.4830211927.

The spelling of 6450260256 in words is "six billion, four hundred fifty million, two hundred sixty thousand, two hundred fifty-six".