6253766400 has 864 divisors, whose sum is σ = 25953894400. Its totient is φ = 1293926400.

The previous prime is 6253766341. The next prime is 6253766413. The reversal of 6253766400 is 46673526.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79161561 + ... + 79161639.

Almost surely, 2^6253766400 is an apocalyptic number.

6253766400 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 6253766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12976947200).

6253766400 is an abundant number, since it is smaller than the sum of its proper divisors (19700128000).

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

6253766400 is a wasteful number, since it uses less digits than its factorization.

6253766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 6253766400 is about 79080.7587217017. The cubic root of 6253766400 is about 1842.3856893182.

The spelling of 6253766400 in words is "six billion, two hundred fifty-three million, seven hundred sixty-six thousand, four hundred".