7615440456 has 128 divisors (see below), whose sum is σ = 21056716800. Its totient is φ = 2280510720.

The previous prime is 7615440419. The next prime is 7615440457. The reversal of 7615440456 is 6540445167.

It is not an unprimeable number, because it can be changed into a prime (7615440457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799465 + ... + 2802183.

It is an arithmetic number, because the mean of its divisors is an integer number (164505600).

Almost surely, 2^7615440456 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 7615440456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10528358400).

7615440456 is an abundant number, since it is smaller than the sum of its proper divisors (13441276344).

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

7615440456 is a wasteful number, since it uses less digits than its factorization.

7615440456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 7615440456 is about 87266.4910260519. The cubic root of 7615440456 is about 1967.4257094709.

The spelling of 7615440456 in words is "seven billion, six hundred fifteen million, four hundred forty thousand, four hundred fifty-six".