6996946212864 has 384 divisors, whose sum is σ = 21451721054400. Its totient is φ = 2251900846080.

The previous prime is 6996946212853. The next prime is 6996946212937. The reversal of 6996946212864 is 4682126496996.

6996946212864 is a `hidden beast` number, since 6 + 9 + 96 + 9 + 462 + 12 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6996946212792 and 6996946212801.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 219896284 + ... + 219928100.

Almost surely, 2^{6996946212864} is an apocalyptic number.

6996946212864 is a gapful number since it is divisible by the number (64) 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 6996946212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725860527200).

6996946212864 is an abundant number, since it is smaller than the sum of its proper divisors (14454774841536).

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

6996946212864 is a wasteful number, since it uses less digits than its factorization.

6996946212864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31986 (or 31960 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 6996946212864 in words is "six trillion, nine hundred ninety-six billion, nine hundred forty-six million, two hundred twelve thousand, eight hundred sixty-four".