6696877824000 has 3456 divisors, whose sum is σ = 31545084916800. Its totient is φ = 1412967628800.

The previous prime is 6696877823969. The next prime is 6696877824017. The reversal of 6696877824000 is 4287786966.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6696877824000 is a `hidden beast` number, since 66 + 96 + 8 + 7 + 7 + 82 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 515144447994 + ... + 515144448006.

Almost surely, 2^{6696877824000} is an apocalyptic number.

6696877824000 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 6696877824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772542458400).

6696877824000 is an abundant number, since it is smaller than the sum of its proper divisors (24848207092800).

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

6696877824000 is an frugal number, since it uses more digits than its factorization.

6696877824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 6696877824000 in words is "six trillion, six hundred ninety-six billion, eight hundred seventy-seven million, eight hundred twenty-four thousand".