6415047296 has 128 divisors (see below), whose sum is σ = 14993510400. Its totient is φ = 2676943872.

The previous prime is 6415047293. The next prime is 6415047299. The reversal of 6415047296 is 6927405146.

It is an interprime number because it is at equal distance from previous prime (6415047293) and next prime (6415047299).

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

It is not an unprimeable number, because it can be changed into a prime (6415047293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14612645 + ... + 14613083.

It is an arithmetic number, because the mean of its divisors is an integer number (117136800).

Almost surely, 2^6415047296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6415047296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7496755200).

6415047296 is an abundant number, since it is smaller than the sum of its proper divisors (8578463104).

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

6415047296 is a wasteful number, since it uses less digits than its factorization.

6415047296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 6415047296 is about 80093.9903862955. The cubic root of 6415047296 is about 1858.0894645972.

The spelling of 6415047296 in words is "six billion, four hundred fifteen million, forty-seven thousand, two hundred ninety-six".