6696735852576 has 384 divisors, whose sum is σ = 22477629081600. Its totient is φ = 1730563968000.

The previous prime is 6696735852563. The next prime is 6696735852577. The reversal of 6696735852576 is 6752585376966.

It is a junction number, because it is equal to n+sod(n) for n = 6696735852498 and 6696735852507.

It is not an unprimeable number, because it can be changed into a prime (6696735852577) 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, 71308051 + ... + 71401901.

It is an arithmetic number, because the mean of its divisors is an integer number (58535492400).

Almost surely, 2^{6696735852576} is an apocalyptic number.

6696735852576 is a gapful number since it is divisible by the number (66) 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 6696735852576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11238814540800).

6696735852576 is an abundant number, since it is smaller than the sum of its proper divisors (15780893229024).

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

6696735852576 is a wasteful number, since it uses less digits than its factorization.

6696735852576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94093 (or 94071 counting only the distinct ones).

The product of its digits is 3429216000, while the sum is 75.

The spelling of 6696735852576 in words is "six trillion, six hundred ninety-six billion, seven hundred thirty-five million, eight hundred fifty-two thousand, five hundred seventy-six".