6337474560 has 416 divisors, whose sum is σ = 22984601280. Its totient is φ = 1656225792.

The previous prime is 6337474519. The next prime is 6337474601. The reversal of 6337474560 is 654747336.

6337474560 is a `hidden beast` number, since 633 + 7 + 4 + 7 + 4 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6337474519) and next prime (6337474601).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40366002 + ... + 40366158.

Almost surely, 2^6337474560 is an apocalyptic number.

6337474560 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 6337474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11492300640).

6337474560 is an abundant number, since it is smaller than the sum of its proper divisors (16647126720).

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

6337474560 is a wasteful number, since it uses less digits than its factorization.

6337474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The square root of 6337474560 is about 79608.2568581928. The cubic root of 6337474560 is about 1850.5695407377.

The spelling of 6337474560 in words is "six billion, three hundred thirty-seven million, four hundred seventy-four thousand, five hundred sixty".