7720082472960 has 2016 divisors, whose sum is σ = 32924850422688. Its totient is φ = 1712282664960.

The previous prime is 7720082472959. The next prime is 7720082472989. The reversal of 7720082472960 is 692742800277.

It is a happy number.

7720082472960 is a `hidden beast` number, since 7 + 7 + 2 + 0 + 0 + 82 + 472 + 96 + 0 = 666.

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 = 7720082472897 and 7720082472906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 68319313864 + ... + 68319313976.

It is an arithmetic number, because the mean of its divisors is an integer number (16331771043).

Almost surely, 2^{7720082472960} 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 7720082472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16462425211344).

7720082472960 is an abundant number, since it is smaller than the sum of its proper divisors (25204767949728).

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

7720082472960 is an equidigital number, since it uses as much as digits as its factorization.

7720082472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 7720082472960 in words is "seven trillion, seven hundred twenty billion, eighty-two million, four hundred seventy-two thousand, nine hundred sixty".