8964008356992 has 768 divisors, whose sum is σ = 27388935388800. Its totient is φ = 2592453427200.

The previous prime is 8964008356967. The next prime is 8964008356999. The reversal of 8964008356992 is 2996538004698.

It is not an unprimeable number, because it can be changed into a prime (8964008356999) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12972515367 + ... + 12972516057.

Almost surely, 2^{8964008356992} 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 8964008356992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694467694400).

8964008356992 is an abundant number, since it is smaller than the sum of its proper divisors (18424927031808).

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

8964008356992 is a wasteful number, since it uses less digits than its factorization.

8964008356992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 69.

The spelling of 8964008356992 in words is "eight trillion, nine hundred sixty-four billion, eight million, three hundred fifty-six thousand, nine hundred ninety-two".