7887644401680 has 160 divisors (see below), whose sum is σ = 27170304144000. Its totient is φ = 2103236264448.

The previous prime is 7887644401673. The next prime is 7887644401697. The reversal of 7887644401680 is 861044467887.

7887644401680 is a `hidden beast` number, since 7 + 88 + 76 + 4 + 4 + 401 + 6 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35960502 + ... + 36179178.

It is an arithmetic number, because the mean of its divisors is an integer number (169814400900).

Almost surely, 2^{7887644401680} is an apocalyptic number.

It is an amenable number.

7887644401680 is an abundant number, since it is smaller than the sum of its proper divisors (19282659742320).

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

7887644401680 is a wasteful number, since it uses less digits than its factorization.

7887644401680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235398 (or 235386 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 7887644401680 in words is "seven trillion, eight hundred eighty-seven billion, six hundred forty-four million, four hundred one thousand, six hundred eighty".