7415256432 has 160 divisors (see below), whose sum is σ = 20376195840. Its totient is φ = 2320496640.

The previous prime is 7415256427. The next prime is 7415256461. The reversal of 7415256432 is 2346525147.

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, 6796207 + ... + 6797297.

It is an arithmetic number, because the mean of its divisors is an integer number (127351224).

Almost surely, 2^7415256432 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 7415256432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10188097920).

7415256432 is an abundant number, since it is smaller than the sum of its proper divisors (12960939408).

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

7415256432 is a wasteful number, since it uses less digits than its factorization.

7415256432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1265 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 7415256432 is about 86111.8832217714. The cubic root of 7415256432 is about 1950.0334363760.

The spelling of 7415256432 in words is "seven billion, four hundred fifteen million, two hundred fifty-six thousand, four hundred thirty-two".