9156126672 has 540 divisors, whose sum is σ = 34145564544. Its totient is φ = 2264613120.

The previous prime is 9156126643. The next prime is 9156126677. The reversal of 9156126672 is 2766216519.

9156126672 is a `hidden beast` number, since 9 + 1 + 561 + 26 + 67 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9156126677) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 41058753 + ... + 41058975.

Almost surely, 2^9156126672 is an apocalyptic number.

9156126672 is a gapful number since it is divisible by the number (92) 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 9156126672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072782272).

9156126672 is an abundant number, since it is smaller than the sum of its proper divisors (24989437872).

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

9156126672 is a wasteful number, since it uses less digits than its factorization.

9156126672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 269 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 9156126672 is about 95687.6516171235. The cubic root of 9156126672 is about 2092.0429549533.

The spelling of 9156126672 in words is "nine billion, one hundred fifty-six million, one hundred twenty-six thousand, six hundred seventy-two".