9929672064000 has 1584 divisors, whose sum is σ = 40202838617760. Its totient is φ = 2442933043200.

The previous prime is 9929672063939. The next prime is 9929672064007. The reversal of 9929672064000 is 4602769299.

9929672064000 is a `hidden beast` number, since 9 + 9 + 29 + 6 + 7 + 206 + 400 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9929672064007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5256575056 + ... + 5256576944.

Almost surely, 2^{9929672064000} is an apocalyptic number.

9929672064000 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 9929672064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20101419308880).

9929672064000 is an abundant number, since it is smaller than the sum of its proper divisors (30273166553760).

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

9929672064000 is a wasteful number, since it uses less digits than its factorization.

9929672064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 9929672064000 in words is "nine trillion, nine hundred twenty-nine billion, six hundred seventy-two million, sixty-four thousand".