9007894203264 has 256 divisors, whose sum is σ = 29007639648000. Its totient is φ = 2729199052800.

The previous prime is 9007894203247. The next prime is 9007894203277. The reversal of 9007894203264 is 4623024987009.

9007894203264 is a `hidden beast` number, since 90 + 0 + 7 + 8 + 94 + 203 + 264 = 666.

It is a super-2 number, since 2×9007894203264² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9007894203264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270239079 + ... + 270272409.

It is an arithmetic number, because the mean of its divisors is an integer number (113311092375).

Almost surely, 2^{9007894203264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9007894203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503819824000).

9007894203264 is an abundant number, since it is smaller than the sum of its proper divisors (19999745444736).

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

9007894203264 is a wasteful number, since it uses less digits than its factorization.

9007894203264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40474 (or 40456 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 9007894203264 in words is "nine trillion, seven billion, eight hundred ninety-four million, two hundred three thousand, two hundred sixty-four".