6268744800 has 432 divisors, whose sum is σ = 22813539840. Its totient is φ = 1619205120.

The previous prime is 6268744717. The next prime is 6268744813. The reversal of 6268744800 is 84478626.

It is a super-2 number, since 2×6268744800² = 78594322735054080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 58586347 + ... + 58586453.

It is an arithmetic number, because the mean of its divisors is an integer number (52809120).

Almost surely, 2^6268744800 is an apocalyptic number.

6268744800 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 6268744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11406769920).

6268744800 is an abundant number, since it is smaller than the sum of its proper divisors (16544795040).

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

6268744800 is a wasteful number, since it uses less digits than its factorization.

6268744800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 6268744800 is about 79175.4052720919. The cubic root of 6268744800 is about 1843.8554162843.

The spelling of 6268744800 in words is "six billion, two hundred sixty-eight million, seven hundred forty-four thousand, eight hundred".