7935742441680 has 80 divisors (see below), whose sum is σ = 24967977762624. Its totient is φ = 2084612935680.

The previous prime is 7935742441673. The next prime is 7935742441703. The reversal of 7935742441680 is 861442475397.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246742081 + ... + 246774240.

It is a 1-persistent number, because it is pandigital, but 2⋅7935742441680 = 15871484883360 is not.

Almost surely, 2^{7935742441680} is an apocalyptic number.

It is an amenable number.

7935742441680 is an abundant number, since it is smaller than the sum of its proper divisors (17032235320944).

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

7935742441680 is a wasteful number, since it uses less digits than its factorization.

7935742441680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493516404 (or 493516398 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 7935742441680 in words is "seven trillion, nine hundred thirty-five billion, seven hundred forty-two million, four hundred forty-one thousand, six hundred eighty".