964209609216 has 400 divisors, whose sum is σ = 3377972712576. Its totient is φ = 268039839744.

The previous prime is 964209609193. The next prime is 964209609227. The reversal of 964209609216 is 612906902469.

It is a happy number.

964209609216 is a `hidden beast` number, since 9 + 6 + 4 + 2 + 0 + 9 + 609 + 21 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10696365 + ... + 10786131.

Almost surely, 2^964209609216 is an apocalyptic number.

964209609216 is a gapful number since it is divisible by the number (96) 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 964209609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688986356288).

964209609216 is an abundant number, since it is smaller than the sum of its proper divisors (2413763103360).

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

964209609216 is an equidigital number, since it uses as much as digits as its factorization.

964209609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89841 (or 89816 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 964209609216 in words is "nine hundred sixty-four billion, two hundred nine million, six hundred nine thousand, two hundred sixteen".