6996278016 has 576 divisors, whose sum is σ = 26097792000. Its totient is φ = 1837043712.

The previous prime is 6996278011. The next prime is 6996278057. The reversal of 6996278016 is 6108726996.

6996278016 is a `hidden beast` number, since 6 + 9 + 9 + 627 + 8 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6996278011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30820495 + ... + 30820721.

Almost surely, 2^6996278016 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 6996278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13048896000).

6996278016 is an abundant number, since it is smaller than the sum of its proper divisors (19101513984).

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

6996278016 is a wasteful number, since it uses less digits than its factorization.

6996278016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 6996278016 is about 83643.7565870878. The cubic root of 6996278016 is about 1912.5920798419.

The spelling of 6996278016 in words is "six billion, nine hundred ninety-six million, two hundred seventy-eight thousand, sixteen".