7978653271680 has 1024 divisors, whose sum is σ = 32061730176000. Its totient is φ = 1642975985664.

The previous prime is 7978653271619. The next prime is 7978653271709. The reversal of 7978653271680 is 861723568797.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1237189096 + ... + 1237195544.

It is an arithmetic number, because the mean of its divisors is an integer number (31310283375).

Almost surely, 2^{7978653271680} is an apocalyptic number.

7978653271680 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 7978653271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030865088000).

7978653271680 is an abundant number, since it is smaller than the sum of its proper divisors (24083076904320).

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

7978653271680 is a wasteful number, since it uses less digits than its factorization.

7978653271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6661 (or 6649 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 69.

The spelling of 7978653271680 in words is "seven trillion, nine hundred seventy-eight billion, six hundred fifty-three million, two hundred seventy-one thousand, six hundred eighty".