9465073632000 has 648 divisors, whose sum is σ = 39618660043872. Its totient is φ = 2163442176000.

The previous prime is 9465073631977. The next prime is 9465073632011. The reversal of 9465073632000 is 2363705649.

9465073632000 is a `hidden beast` number, since 9 + 4 + 6 + 5 + 0 + 7 + 3 + 632 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13776645 + ... + 14447355.

Almost surely, 2^{9465073632000} is an apocalyptic number.

9465073632000 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 9465073632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19809330021936).

9465073632000 is an abundant number, since it is smaller than the sum of its proper divisors (30153586411872).

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

9465073632000 is a wasteful number, since it uses less digits than its factorization.

9465073632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670762 (or 670728 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 9465073632000 in words is "nine trillion, four hundred sixty-five billion, seventy-three million, six hundred thirty-two thousand".