9152640900 has 288 divisors, whose sum is σ = 31996702080. Its totient is φ = 2230986240.

The previous prime is 9152640899. The next prime is 9152640971. The reversal of 9152640900 is 90462519.

9152640900 is a `hidden beast` number, since 9 + 1 + 5 + 2 + 640 + 9 + 0 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 3754482 + ... + 3756918.

It is an arithmetic number, because the mean of its divisors is an integer number (111099660).

Almost surely, 2^9152640900 is an apocalyptic number.

9152640900 is a gapful number since it is divisible by the number (90) 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 9152640900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15998351040).

9152640900 is an abundant number, since it is smaller than the sum of its proper divisors (22844061180).

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

9152640900 is a wasteful number, since it uses less digits than its factorization.

9152640900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9152640900 is about 95669.4355580715. The cubic root of 9152640900 is about 2091.7774383717. Note that the first 3 decimals are identical.

The spelling of 9152640900 in words is "nine billion, one hundred fifty-two million, six hundred forty thousand, nine hundred".