7379199360 has 512 divisors, whose sum is σ = 28500595200. Its totient is φ = 1793581056.

The previous prime is 7379199349. The next prime is 7379199361. The reversal of 7379199360 is 639919737.

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 = 7379199297 and 7379199306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7379199361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24036327 + ... + 24036633.

It is an arithmetic number, because the mean of its divisors is an integer number (55665225).

Almost surely, 2^7379199360 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 7379199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14250297600).

7379199360 is an abundant number, since it is smaller than the sum of its proper divisors (21121395840).

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

7379199360 is a wasteful number, since it uses less digits than its factorization.

7379199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1928934, while the sum is 54.

The square root of 7379199360 is about 85902.2663263316. The cubic root of 7379199360 is about 1946.8675862760.

The spelling of 7379199360 in words is "seven billion, three hundred seventy-nine million, one hundred ninety-nine thousand, three hundred sixty".