6896079664320 has 3360 divisors, whose sum is σ = 32233170585600. Its totient is φ = 1236462796800.

The previous prime is 6896079664241. The next prime is 6896079664373. The reversal of 6896079664320 is 234669706986.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 222454182705 + ... + 222454182735.

Almost surely, 2^{6896079664320} is an apocalyptic number.

6896079664320 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 6896079664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16116585292800).

6896079664320 is an abundant number, since it is smaller than the sum of its proper divisors (25337090921280).

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

6896079664320 is a wasteful number, since it uses less digits than its factorization.

6896079664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 6896079664320 in words is "six trillion, eight hundred ninety-six billion, seventy-nine million, six hundred sixty-four thousand, three hundred twenty".