7680468418560 has 2304 divisors, whose sum is σ = 33416483143680. Its totient is φ = 1685528248320.

The previous prime is 7680468418549. The next prime is 7680468418681. The reversal of 7680468418560 is 658148640867.

7680468418560 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 4 + 68 + 4 + 1 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60476129217 + ... + 60476129343.

It is an arithmetic number, because the mean of its divisors is an integer number (14503681920).

Almost surely, 2^{7680468418560} is an apocalyptic number.

7680468418560 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 7680468418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16708241571840).

7680468418560 is an abundant number, since it is smaller than the sum of its proper divisors (25736014725120).

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

7680468418560 is an equidigital number, since it uses as much as digits as its factorization.

7680468418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 7680468418560 in words is "seven trillion, six hundred eighty billion, four hundred sixty-eight million, four hundred eighteen thousand, five hundred sixty".