6297874560 has 96 divisors (see below), whose sum is σ = 21747367980. Its totient is φ = 1679431680.

The previous prime is 6297874529. The next prime is 6297874567. The reversal of 6297874560 is 654787926.

6297874560 is a `hidden beast` number, since 6 + 2 + 9 + 7 + 8 + 74 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5748065856 + 549808704 = 75816^2 + 23448^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 6297874497 and 6297874506.

It is not an unprimeable number, because it can be changed into a prime (6297874567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540931 + ... + 552450.

Almost surely, 2^6297874560 is an apocalyptic number.

6297874560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6297874560 is an abundant number, since it is smaller than the sum of its proper divisors (15449493420).

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

6297874560 is a wasteful number, since it uses less digits than its factorization.

6297874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093406 (or 1093391 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 6297874560 is about 79359.1491889877. The cubic root of 6297874560 is about 1846.7070283303.

The spelling of 6297874560 in words is "six billion, two hundred ninety-seven million, eight hundred seventy-four thousand, five hundred sixty".