7102681936768 has 128 divisors (see below), whose sum is σ = 15605293017600. Its totient is φ = 3193208801280.

The previous prime is 7102681936709. The next prime is 7102681936769. The reversal of 7102681936768 is 8676391862017.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7102681936769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119324998 + ... + 119384506.

It is an arithmetic number, because the mean of its divisors is an integer number (121916351700).

Almost surely, 2^{7102681936768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7102681936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802646508800).

7102681936768 is an abundant number, since it is smaller than the sum of its proper divisors (8502611080832).

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

7102681936768 is a wasteful number, since it uses less digits than its factorization.

7102681936768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60460 (or 60448 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 64.

The spelling of 7102681936768 in words is "seven trillion, one hundred two billion, six hundred eighty-one million, nine hundred thirty-six thousand, seven hundred sixty-eight".