964978544160 has 288 divisors, whose sum is σ = 3456107403840. Its totient is φ = 254226428928.

The previous prime is 964978544149. The next prime is 964978544183. The reversal of 964978544160 is 61445879469.

964978544160 is a `hidden beast` number, since 9 + 6 + 4 + 9 + 78 + 544 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3077526 + ... + 3376554.

It is an arithmetic number, because the mean of its divisors is an integer number (12000372930).

Almost surely, 2^964978544160 is an apocalyptic number.

964978544160 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 964978544160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728053701920).

964978544160 is an abundant number, since it is smaller than the sum of its proper divisors (2491128859680).

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

964978544160 is a wasteful number, since it uses less digits than its factorization.

964978544160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299142 (or 299122 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 964978544160 in words is "nine hundred sixty-four billion, nine hundred seventy-eight million, five hundred forty-four thousand, one hundred sixty".