7693754004864 has 480 divisors, whose sum is σ = 24916197204360. Its totient is φ = 2354817761280.

The previous prime is 7693754004787. The next prime is 7693754004929. The reversal of 7693754004864 is 4684004573967.

It is a happy number.

7693754004864 is a `hidden beast` number, since 7 + 6 + 9 + 3 + 7 + 540 + 0 + 4 + 86 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 122819119 + ... + 122881745.

Almost surely, 2^{7693754004864} 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 7693754004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458098602180).

7693754004864 is an abundant number, since it is smaller than the sum of its proper divisors (17222443199496).

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

7693754004864 is a wasteful number, since it uses less digits than its factorization.

7693754004864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62728 (or 62690 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 7693754004864 in words is "seven trillion, six hundred ninety-three billion, seven hundred fifty-four million, four thousand, eight hundred sixty-four".