6972064064 has 28 divisors (see below), whose sum is σ = 15811646304. Its totient is φ = 2988027264.

The previous prime is 6972064061. The next prime is 6972064067. The reversal of 6972064064 is 4604602796.

It is an interprime number because it is at equal distance from previous prime (6972064061) and next prime (6972064067).

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972064061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7780874 + ... + 7781769.

Almost surely, 2^6972064064 is an apocalyptic number.

6972064064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6972064064 is an abundant number, since it is smaller than the sum of its proper divisors (8839582240).

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

6972064064 is a wasteful number, since it uses less digits than its factorization.

6972064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15562662 (or 15562652 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 6972064064 is about 83498.8866033554. The cubic root of 6972064064 is about 1910.3830508294.

The spelling of 6972064064 in words is "six billion, nine hundred seventy-two million, sixty-four thousand, sixty-four".