7680646653120 has 448 divisors, whose sum is σ = 31598396544000. Its totient is φ = 1755575700480.

The previous prime is 7680646653103. The next prime is 7680646653227. The reversal of 7680646653120 is 213566460867.

7680646653120 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 6 + 466 + 53 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1667655 + ... + 4259385.

Almost surely, 2^{7680646653120} is an apocalyptic number.

7680646653120 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 7680646653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15799198272000).

7680646653120 is an abundant number, since it is smaller than the sum of its proper divisors (23917749890880).

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

7680646653120 is a wasteful number, since it uses less digits than its factorization.

7680646653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591778 (or 2591748 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 7680646653120 in words is "seven trillion, six hundred eighty billion, six hundred forty-six million, six hundred fifty-three thousand, one hundred twenty".