6011472456 has 128 divisors (see below), whose sum is σ = 18265334400. Its totient is φ = 1816784640.

The previous prime is 6011472449. The next prime is 6011472479. The reversal of 6011472456 is 6542741106.

6011472456 is a `hidden beast` number, since 60 + 1 + 147 + 2 + 456 = 666.

It is a super-2 number, since 2×6011472456² = 72275602178493343872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6011472456.

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, 940086 + ... + 946458.

It is an arithmetic number, because the mean of its divisors is an integer number (142697925).

Almost surely, 2^6011472456 is an apocalyptic number.

6011472456 is a gapful number since it is divisible by the number (66) 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 6011472456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9132667200).

6011472456 is an abundant number, since it is smaller than the sum of its proper divisors (12253861944).

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

6011472456 is a wasteful number, since it uses less digits than its factorization.

6011472456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6796 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6011472456 is about 77533.6859435949. The cubic root of 6011472456 is about 1818.2780130117.

The spelling of 6011472456 in words is "six billion, eleven million, four hundred seventy-two thousand, four hundred fifty-six".