9946672236864 has 672 divisors, whose sum is σ = 32429617355520. Its totient is φ = 2987260784640.

The previous prime is 9946672236827. The next prime is 9946672236887. The reversal of 9946672236864 is 4686322766499.

9946672236864 is a `hidden beast` number, since 9 + 9 + 466 + 72 + 2 + 36 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9946672236792 and 9946672236801.

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, 15232269562 + ... + 15232270214.

It is an arithmetic number, because the mean of its divisors is an integer number (48258359160).

Almost surely, 2^{9946672236864} 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 9946672236864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16214808677760).

9946672236864 is an abundant number, since it is smaller than the sum of its proper divisors (22482945118656).

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

9946672236864 is a wasteful number, since it uses less digits than its factorization.

9946672236864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1209 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 72.

The spelling of 9946672236864 in words is "nine trillion, nine hundred forty-six billion, six hundred seventy-two million, two hundred thirty-six thousand, eight hundred sixty-four".