7368399360 has 640 divisors, whose sum is σ = 30413053440. Its totient is φ = 1656225792.

The previous prime is 7368399323. The next prime is 7368399377. The reversal of 7368399360 is 639938637.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7368399297 and 7368399306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46932402 + ... + 46932558.

It is an arithmetic number, because the mean of its divisors is an integer number (47520396).

Almost surely, 2^7368399360 is an apocalyptic number.

7368399360 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 7368399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206526720).

7368399360 is an abundant number, since it is smaller than the sum of its proper divisors (23044654080).

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

7368399360 is a wasteful number, since it uses less digits than its factorization.

7368399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 7368399360 is about 85839.3811720471. The cubic root of 7368399360 is about 1945.9173279875.

The spelling of 7368399360 in words is "seven billion, three hundred sixty-eight million, three hundred ninety-nine thousand, three hundred sixty".