6966296064 has 480 divisors, whose sum is σ = 25470244800. Its totient is φ = 1783627776.

The previous prime is 6966296063. The next prime is 6966296089. The reversal of 6966296064 is 4606926696.

It is a happy number.

6966296064 is a `hidden beast` number, since 6 + 9 + 6 + 6 + 29 + 606 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6966296064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6966296063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15514912 + ... + 15515360.

It is an arithmetic number, because the mean of its divisors is an integer number (53063010).

Almost surely, 2^6966296064 is an apocalyptic number.

6966296064 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 6966296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12735122400).

6966296064 is an abundant number, since it is smaller than the sum of its proper divisors (18503948736).

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

6966296064 is a wasteful number, since it uses less digits than its factorization.

6966296064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 6966296064 is about 83464.3400740700. The cubic root of 6966296064 is about 1909.8560844755.

The spelling of 6966296064 in words is "six billion, nine hundred sixty-six million, two hundred ninety-six thousand, sixty-four".