7083056560320 has 840 divisors, whose sum is σ = 27388873329840. Its totient is φ = 1736751144960.

The previous prime is 7083056560303. The next prime is 7083056560331. The reversal of 7083056560320 is 230656503807.

7083056560320 is a `hidden beast` number, since 7 + 0 + 8 + 3 + 0 + 56 + 560 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1178346115 + ... + 1178352125.

Almost surely, 2^{7083056560320} 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 7083056560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694436664920).

7083056560320 is an abundant number, since it is smaller than the sum of its proper divisors (20305816769520).

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

7083056560320 is a wasteful number, since it uses less digits than its factorization.

7083056560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6303 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 7083056560320 in words is "seven trillion, eighty-three billion, fifty-six million, five hundred sixty thousand, three hundred twenty".