7360079146560 has 672 divisors, whose sum is σ = 30000249676800. Its totient is φ = 1620469186560.

The previous prime is 7360079146523. The next prime is 7360079146571. The reversal of 7360079146560 is 656419700637.

It is a happy number.

7360079146560 is a `hidden beast` number, since 7 + 3 + 6 + 0 + 0 + 79 + 1 + 4 + 6 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7360079146497 and 7360079146506.

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, 251965236 + ... + 251994444.

Almost surely, 2^{7360079146560} is an apocalyptic number.

7360079146560 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 7360079146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000124838400).

7360079146560 is an abundant number, since it is smaller than the sum of its proper divisors (22640170530240).

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

7360079146560 is a wasteful number, since it uses less digits than its factorization.

7360079146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29699 (or 29686 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 7360079146560 in words is "seven trillion, three hundred sixty billion, seventy-nine million, one hundred forty-six thousand, five hundred sixty".