6291476460 has 144 divisors (see below), whose sum is σ = 20128049760. Its totient is φ = 1586304000.

The previous prime is 6291476437. The next prime is 6291476473. The reversal of 6291476460 is 646741926.

6291476460 is a `hidden beast` number, since 62 + 91 + 47 + 6 + 460 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2094960 + ... + 2097960.

Almost surely, 2^6291476460 is an apocalyptic number.

6291476460 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 6291476460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10064024880).

6291476460 is an abundant number, since it is smaller than the sum of its proper divisors (13836573300).

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

6291476460 is a wasteful number, since it uses less digits than its factorization.

6291476460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6291476460 is about 79318.8279035942. The cubic root of 6291476460 is about 1846.0814511595.

The spelling of 6291476460 in words is "six billion, two hundred ninety-one million, four hundred seventy-six thousand, four hundred sixty".