6254800560 has 480 divisors, whose sum is σ = 22930532352. Its totient is φ = 1582571520.

The previous prime is 6254800547. The next prime is 6254800567. The reversal of 6254800560 is 650084526.

6254800560 is a `hidden beast` number, since 62 + 548 + 0 + 0 + 56 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6254800567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58456027 + ... + 58456133.

Almost surely, 2^6254800560 is an apocalyptic number.

6254800560 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 6254800560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11465266176).

6254800560 is an abundant number, since it is smaller than the sum of its proper divisors (16675731792).

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

6254800560 is a wasteful number, since it uses less digits than its factorization.

6254800560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 6254800560 is about 79087.2970836657. The cubic root of 6254800560 is about 1842.4872396719.

The spelling of 6254800560 in words is "six billion, two hundred fifty-four million, eight hundred thousand, five hundred sixty".