7680408003840 has 576 divisors, whose sum is σ = 28941805751040. Its totient is φ = 1711287828480.

The previous prime is 7680408003811. The next prime is 7680408003883. The reversal of 7680408003840 is 483008040867.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7680408003840.

It is a congruent number.

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, 127914946 + ... + 127974974.

It is an arithmetic number, because the mean of its divisors is an integer number (50246190540).

Almost surely, 2^{7680408003840} 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 7680408003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14470902875520).

7680408003840 is an abundant number, since it is smaller than the sum of its proper divisors (21261397747200).

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

7680408003840 is a wasteful number, since it uses less digits than its factorization.

7680408003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60310 (or 60296 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 7680408003840 in words is "seven trillion, six hundred eighty billion, four hundred eight million, three thousand, eight hundred forty".