964958855328 has 432 divisors, whose sum is σ = 3111830205120. Its totient is φ = 293986547712.

The previous prime is 964958855309. The next prime is 964958855347. The reversal of 964958855328 is 823558859469.

964958855328 is a `hidden beast` number, since 9 + 6 + 4 + 9 + 5 + 8 + 85 + 532 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (964958855309) and next prime (964958855347).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×964958855328² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135353268 + ... + 135360396.

It is an arithmetic number, because the mean of its divisors is an integer number (7203310660).

Almost surely, 2^964958855328 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 964958855328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555915102560).

964958855328 is an abundant number, since it is smaller than the sum of its proper divisors (2146871349792).

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

964958855328 is a wasteful number, since it uses less digits than its factorization.

964958855328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7283 (or 7250 counting only the distinct ones).

The product of its digits is 746496000, while the sum is 72.

The spelling of 964958855328 in words is "nine hundred sixty-four billion, nine hundred fifty-eight million, eight hundred fifty-five thousand, three hundred twenty-eight".