6967778496 has 336 divisors, whose sum is σ = 23181868800. Its totient is φ = 1802207232.

The previous prime is 6967778479. The next prime is 6967778501. The reversal of 6967778496 is 6948777696.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 6967778496.

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 47 ways as a sum of consecutive naturals, for example, 71832720 + ... + 71832816.

Almost surely, 2^6967778496 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 6967778496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11590934400).

6967778496 is an abundant number, since it is smaller than the sum of its proper divisors (16214090304).

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

6967778496 is a wasteful number, since it uses less digits than its factorization.

6967778496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 157 counting only the distinct ones).

The product of its digits is 192036096, while the sum is 69.

The square root of 6967778496 is about 83473.2202325991. The cubic root of 6967778496 is about 1909.9915477089.

The spelling of 6967778496 in words is "six billion, nine hundred sixty-seven million, seven hundred seventy-eight thousand, four hundred ninety-six".