6948680916960 has 384 divisors, whose sum is σ = 24864529979520. Its totient is φ = 1834625894400.

The previous prime is 6948680916923. The next prime is 6948680916973. The reversal of 6948680916960 is 696190868496.

6948680916960 is a `hidden beast` number, since 6 + 9 + 486 + 80 + 9 + 1 + 6 + 9 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35243614 + ... + 35440226.

It is an arithmetic number, because the mean of its divisors is an integer number (64751380155).

Almost surely, 2^{6948680916960} is an apocalyptic number.

6948680916960 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 6948680916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432264989760).

6948680916960 is an abundant number, since it is smaller than the sum of its proper divisors (17915849062560).

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

6948680916960 is a wasteful number, since it uses less digits than its factorization.

6948680916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196750 (or 196724 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 6948680916960 in words is "six trillion, nine hundred forty-eight billion, six hundred eighty million, nine hundred sixteen thousand, nine hundred sixty".