6257260800 has 648 divisors, whose sum is σ = 26726935200. Its totient is φ = 1428295680.

The previous prime is 6257260787. The next prime is 6257260831. The reversal of 6257260800 is 80627526.

6257260800 is a `hidden beast` number, since 6 + 2 + 572 + 6 + 0 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8466831 + ... + 8467569.

Almost surely, 2^6257260800 is an apocalyptic number.

6257260800 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 6257260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13363467600).

6257260800 is an abundant number, since it is smaller than the sum of its proper divisors (20469674400).

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

6257260800 is a wasteful number, since it uses less digits than its factorization.

6257260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6257260800 is about 79102.8495061967. The cubic root of 6257260800 is about 1842.7287803662.

The spelling of 6257260800 in words is "six billion, two hundred fifty-seven million, two hundred sixty thousand, eight hundred".