9026964000 has 576 divisors, whose sum is σ = 34257105792. Its totient is φ = 2332800000.

The previous prime is 9026963989. The next prime is 9026964019. The reversal of 9026964000 is 4696209.

9026964000 is a `hidden beast` number, since 9 + 0 + 2 + 6 + 9 + 640 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35963875 + ... + 35964125.

It is an arithmetic number, because the mean of its divisors is an integer number (59474142).

Almost surely, 2^9026964000 is an apocalyptic number.

9026964000 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 9026964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128552896).

9026964000 is an abundant number, since it is smaller than the sum of its proper divisors (25230141792).

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

9026964000 is a wasteful number, since it uses less digits than its factorization.

9026964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9026964000 is about 95010.3362797964. The cubic root of 9026964000 is about 2082.1590623353.

The spelling of 9026964000 in words is "nine billion, twenty-six million, nine hundred sixty-four thousand".