6961348574160 has 80 divisors (see below), whose sum is σ = 21699408232320. Its totient is φ = 1846103477760.

The previous prime is 6961348574123. The next prime is 6961348574171. The reversal of 6961348574160 is 614758431696.

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 junction number, because it is equal to n+sod(n) for n = 6961348574094 and 6961348574103.

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, 80082580 + ... + 80169459.

It is an arithmetic number, because the mean of its divisors is an integer number (271242602904).

Almost surely, 2^{6961348574160} is an apocalyptic number.

6961348574160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6961348574160 is an abundant number, since it is smaller than the sum of its proper divisors (14738059658160).

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

6961348574160 is a wasteful number, since it uses less digits than its factorization.

6961348574160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160252236 (or 160252230 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 6961348574160 in words is "six trillion, nine hundred sixty-one billion, three hundred forty-eight million, five hundred seventy-four thousand, one hundred sixty".