6972178752 has 504 divisors, whose sum is σ = 25970520576. Its totient is φ = 1748736000.

The previous prime is 6972178727. The next prime is 6972178813. The reversal of 6972178752 is 2578712796.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×6972178752² = 97222553099680555008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 15123802 + ... + 15124262.

Almost surely, 2^6972178752 is an apocalyptic number.

6972178752 is a gapful number since it is divisible by the number (62) 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 6972178752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12985260288).

6972178752 is an abundant number, since it is smaller than the sum of its proper divisors (18998341824).

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

6972178752 is a wasteful number, since it uses less digits than its factorization.

6972178752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 515 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The square root of 6972178752 is about 83499.5733641795. The cubic root of 6972178752 is about 1910.3935258149.

The spelling of 6972178752 in words is "six billion, nine hundred seventy-two million, one hundred seventy-eight thousand, seven hundred fifty-two".