6476759040 has 128 divisors (see below), whose sum is σ = 20726885520. Its totient is φ = 1727004672.

The previous prime is 6476759033. The next prime is 6476759057. The reversal of 6476759040 is 409576746.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484932 + ... + 498108.

Almost surely, 2^6476759040 is an apocalyptic number.

6476759040 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 6476759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10363442760).

6476759040 is an abundant number, since it is smaller than the sum of its proper divisors (14250126480).

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

6476759040 is an equidigital number, since it uses as much as digits as its factorization.

6476759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13215 (or 13187 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 6476759040 is about 80478.3140976499. The cubic root of 6476759040 is about 1864.0286364233.

The spelling of 6476759040 in words is "six billion, four hundred seventy-six million, seven hundred fifty-nine thousand, forty".