9997654632000 has 1344 divisors, whose sum is σ = 39420937460736. Its totient is φ = 2225070489600.

The previous prime is 9997654631903. The next prime is 9997654632037. The reversal of 9997654632000 is 2364567999.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15310343674 + ... + 15310344326.

Almost surely, 2^{9997654632000} 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 9997654632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19710468730368).

9997654632000 is an abundant number, since it is smaller than the sum of its proper divisors (29423282828736).

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

9997654632000 is a wasteful number, since it uses less digits than its factorization.

9997654632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 60.

The spelling of 9997654632000 in words is "nine trillion, nine hundred ninety-seven billion, six hundred fifty-four million, six hundred thirty-two thousand".