7971733106688 has 832 divisors, whose sum is σ = 26113086236160. Its totient is φ = 2135596990464.

The previous prime is 7971733106683. The next prime is 7971733106717. The reversal of 7971733106688 is 8866013371797.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7971733106683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2218682620 + ... + 2218686212.

Almost surely, 2^{7971733106688} is an apocalyptic number.

7971733106688 is a gapful number since it is divisible by the number (78) 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 7971733106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13056543118080).

7971733106688 is an abundant number, since it is smaller than the sum of its proper divisors (18141353129472).

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

7971733106688 is a wasteful number, since it uses less digits than its factorization.

7971733106688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 66.

The spelling of 7971733106688 in words is "seven trillion, nine hundred seventy-one billion, seven hundred thirty-three million, one hundred six thousand, six hundred eighty-eight".