6696634963200 has 864 divisors, whose sum is σ = 27228169785600. Its totient is φ = 1411472424960.

The previous prime is 6696634963169. The next prime is 6696634963201. The reversal of 6696634963200 is 23694366966.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6696634963201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3300459786 + ... + 3300461814.

It is an arithmetic number, because the mean of its divisors is an integer number (31514085400).

Almost surely, 2^{6696634963200} is an apocalyptic number.

6696634963200 is a gapful number since it is divisible by the number (60) 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 6696634963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13614084892800).

6696634963200 is an abundant number, since it is smaller than the sum of its proper divisors (20531534822400).

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

6696634963200 is a wasteful number, since it uses less digits than its factorization.

6696634963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 60.

The spelling of 6696634963200 in words is "six trillion, six hundred ninety-six billion, six hundred thirty-four million, nine hundred sixty-three thousand, two hundred".