6972156000 has 384 divisors, whose sum is σ = 25724200320. Its totient is φ = 1856908800.

The previous prime is 6972155999. The next prime is 6972156007. The reversal of 6972156000 is 6512796.

6972156000 is a `hidden beast` number, since 6 + 97 + 2 + 1 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×6972156000² = 97221918576672000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972156007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8747602 + ... + 8748398.

It is an arithmetic number, because the mean of its divisors is an integer number (66990105).

Almost surely, 2^6972156000 is an apocalyptic number.

6972156000 is a gapful number since it is divisible by the number (60) 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 6972156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12862100160).

6972156000 is an abundant number, since it is smaller than the sum of its proper divisors (18752044320).

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

6972156000 is an frugal number, since it uses more digits than its factorization.

6972156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 6972156000 is about 83499.4371238513. The cubic root of 6972156000 is about 1910.3914477787.

Adding to 6972156000 its reverse (6512796), we get a palindrome (6978668796).

The spelling of 6972156000 in words is "six billion, nine hundred seventy-two million, one hundred fifty-six thousand".