7315476480 has 624 divisors, whose sum is σ = 28336404096. Its totient is φ = 1734082560.

The previous prime is 7315476401. The next prime is 7315476481. The reversal of 7315476480 is 846745137.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×7315476480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7315476481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103034845 + ... + 103034915.

It is an arithmetic number, because the mean of its divisors is an integer number (45410904).

Almost surely, 2^7315476480 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 7315476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14168202048).

7315476480 is an abundant number, since it is smaller than the sum of its proper divisors (21020927616).

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

7315476480 is a wasteful number, since it uses less digits than its factorization.

7315476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7315476480 is about 85530.5587494902. The cubic root of 7315476480 is about 1941.2473361522.

The spelling of 7315476480 in words is "seven billion, three hundred fifteen million, four hundred seventy-six thousand, four hundred eighty".