7306407360 has 672 divisors, whose sum is σ = 30816694272. Its totient is φ = 1612431360.

The previous prime is 7306407347. The next prime is 7306407397. The reversal of 7306407360 is 637046037.

7306407360 is a `hidden beast` number, since 7 + 3 + 0 + 640 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16873704 + ... + 16874136.

It is an arithmetic number, because the mean of its divisors is an integer number (45858176).

Almost surely, 2^7306407360 is an apocalyptic number.

7306407360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7306407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15408347136).

7306407360 is an abundant number, since it is smaller than the sum of its proper divisors (23510286912).

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

7306407360 is a wasteful number, since it uses less digits than its factorization.

7306407360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 7306407360 is about 85477.5254672244. The cubic root of 7306407360 is about 1940.4448053649. Note that the first 3 decimals are identical.

The spelling of 7306407360 in words is "seven billion, three hundred six million, four hundred seven thousand, three hundred sixty".