6786972973632 has 112 divisors (see below), whose sum is σ = 18048474017280. Its totient is φ = 2250837270528.

The previous prime is 6786972973609. The next prime is 6786972973637. The reversal of 6786972973632 is 2363792796876.

It is a super-2 number, since 2×6786972973632² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6786972973637) 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, 73126168 + ... + 73218920.

It is an arithmetic number, because the mean of its divisors is an integer number (161147089440).

Almost surely, 2^{6786972973632} 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 6786972973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9024237008640).

6786972973632 is an abundant number, since it is smaller than the sum of its proper divisors (11261501043648).

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

6786972973632 is a wasteful number, since it uses less digits than its factorization.

6786972973632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94700 (or 94690 counting only the distinct ones).

The product of its digits is 1728324864, while the sum is 75.

The spelling of 6786972973632 in words is "six trillion, seven hundred eighty-six billion, nine hundred seventy-two million, nine hundred seventy-three thousand, six hundred thirty-two".