964172617920 has 224 divisors, whose sum is σ = 3427355543040. Its totient is φ = 255149706240.

The previous prime is 964172617853. The next prime is 964172617927. The reversal of 964172617920 is 29716271469.

964172617920 is a `hidden beast` number, since 9 + 6 + 4 + 17 + 2 + 617 + 9 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (964172617927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705909 + ... + 1557771.

Almost surely, 2^964172617920 is an apocalyptic number.

964172617920 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 964172617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713677771520).

964172617920 is an abundant number, since it is smaller than the sum of its proper divisors (2463182925120).

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

964172617920 is a wasteful number, since it uses less digits than its factorization.

964172617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852020 (or 852004 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 964172617920 in words is "nine hundred sixty-four billion, one hundred seventy-two million, six hundred seventeen thousand, nine hundred twenty".