6476405760 has 352 divisors, whose sum is σ = 25114233600. Its totient is φ = 1569669120.

The previous prime is 6476405753. The next prime is 6476405779. The reversal of 6476405760 is 675046746.

It is a happy number.

6476405760 is a `hidden beast` number, since 6 + 4 + 76 + 4 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×6476405760² = 83887663136322355200, which contains 22 as substring.

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

It is a congruent number.

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, 1518511 + ... + 1522769.

Almost surely, 2^6476405760 is an apocalyptic number.

6476405760 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 6476405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12557116800).

6476405760 is an abundant number, since it is smaller than the sum of its proper divisors (18637827840).

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

6476405760 is a wasteful number, since it uses less digits than its factorization.

6476405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 6476405760 is about 80476.1191907264. The cubic root of 6476405760 is about 1863.9947441629.

The spelling of 6476405760 in words is "six billion, four hundred seventy-six million, four hundred five thousand, seven hundred sixty".