7279113600 has 1152 divisors, whose sum is σ = 31490484480. Its totient is φ = 1642291200.

The previous prime is 7279113571. The next prime is 7279113607. The reversal of 7279113600 is 63119727.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7279113607) 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 143 ways as a sum of consecutive naturals, for example, 196732782 + ... + 196732818.

It is an arithmetic number, because the mean of its divisors is an integer number (27335490).

Almost surely, 2^7279113600 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 7279113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15745242240).

7279113600 is an abundant number, since it is smaller than the sum of its proper divisors (24211370880).

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

7279113600 is a wasteful number, since it uses less digits than its factorization.

7279113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 7279113600 is about 85317.7214885630. The cubic root of 7279113600 is about 1938.0255534401.

The spelling of 7279113600 in words is "seven billion, two hundred seventy-nine million, one hundred thirteen thousand, six hundred".