6696634317984 has 432 divisors, whose sum is σ = 21000645338400. Its totient is φ = 2022682281984.

The previous prime is 6696634317881. The next prime is 6696634318013. The reversal of 6696634317984 is 4897134366966.

6696634317984 is a `hidden beast` number, since 6 + 69 + 6 + 63 + 431 + 79 + 8 + 4 = 666.

It is a super-2 number, since 2×6696634317984² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2863031887 + ... + 2863034225.

It is an arithmetic number, because the mean of its divisors is an integer number (48612604950).

Almost surely, 2^{6696634317984} 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 6696634317984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10500322669200).

6696634317984 is an abundant number, since it is smaller than the sum of its proper divisors (14304011020416).

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

6696634317984 is a wasteful number, since it uses less digits than its factorization.

6696634317984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3413 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 6696634317984 in words is "six trillion, six hundred ninety-six billion, six hundred thirty-four million, three hundred seventeen thousand, nine hundred eighty-four".