6947874385920 has 832 divisors, whose sum is σ = 27757786613760. Its totient is φ = 1635848552448.

The previous prime is 6947874385877. The next prime is 6947874385937. The reversal of 6947874385920 is 295834787496.

6947874385920 is a `hidden beast` number, since 6 + 9 + 47 + 87 + 438 + 59 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165314029 + ... + 165356051.

Almost surely, 2^{6947874385920} is an apocalyptic number.

6947874385920 is a gapful number since it is divisible by the number (60) 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 6947874385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13878893306880).

6947874385920 is an abundant number, since it is smaller than the sum of its proper divisors (20809912227840).

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

6947874385920 is a wasteful number, since it uses less digits than its factorization.

6947874385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42097 (or 42069 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 6947874385920 in words is "six trillion, nine hundred forty-seven billion, eight hundred seventy-four million, three hundred eighty-five thousand, nine hundred twenty".