9152676000 has 960 divisors, whose sum is σ = 37759097376. Its totient is φ = 2156544000.

The previous prime is 9152675927. The next prime is 9152676007. The reversal of 9152676000 is 6762519.

It can be written as a sum of positive squares in 16 ways, for example, as 2713576464 + 6439099536 = 52092^2 + 80244^2 .

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 (9152676007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 172691974 + ... + 172692026.

Almost surely, 2^9152676000 is an apocalyptic number.

9152676000 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 9152676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18879548688).

9152676000 is an abundant number, since it is smaller than the sum of its proper divisors (28606421376).

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

9152676000 is a wasteful number, since it uses less digits than its factorization.

9152676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

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

The square root of 9152676000 is about 95669.6190020636. The cubic root of 9152676000 is about 2091.7801123283.

The spelling of 9152676000 in words is "nine billion, one hundred fifty-two million, six hundred seventy-six thousand".