6472992960 has 896 divisors, whose sum is σ = 28324454400. Its totient is φ = 1358622720.

The previous prime is 6472992949. The next prime is 6472992983. The reversal of 6472992960 is 692992746.

6472992960 is a `hidden beast` number, since 6 + 472 + 99 + 29 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6472992897 and 6472992906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49412095 + ... + 49412225.

Almost surely, 2^6472992960 is an apocalyptic number.

6472992960 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 6472992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14162227200).

6472992960 is an abundant number, since it is smaller than the sum of its proper divisors (21851461440).

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

6472992960 is a wasteful number, since it uses less digits than its factorization.

6472992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 6472992960 is about 80454.9125908418. The cubic root of 6472992960 is about 1863.6672703947.

The spelling of 6472992960 in words is "six billion, four hundred seventy-two million, nine hundred ninety-two thousand, nine hundred sixty".