7314415680 has 224 divisors, whose sum is σ = 27283794048. Its totient is φ = 1636761600.

The previous prime is 7314415663. The next prime is 7314415681. The reversal of 7314415680 is 865144137.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (7314415681) 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, 110640 + ... + 163920.

It is an arithmetic number, because the mean of its divisors is an integer number (121802652).

Almost surely, 2^7314415680 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 7314415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13641897024).

7314415680 is an abundant number, since it is smaller than the sum of its proper divisors (19969378368).

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

7314415680 is a wasteful number, since it uses less digits than its factorization.

7314415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53325 (or 53315 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 7314415680 is about 85524.3572323113. The cubic root of 7314415680 is about 1941.1534997163.

The spelling of 7314415680 in words is "seven billion, three hundred fourteen million, four hundred fifteen thousand, six hundred eighty".