964728651264 has 1280 divisors, whose sum is σ = 3456858746880. Its totient is φ = 232532213760.

The previous prime is 964728651259. The next prime is 964728651283. The reversal of 964728651264 is 462156827469.

It is a happy number.

Its product of digits (34836480) is a multiple of the sum of its prime divisors (315).

It is a junction number, because it is equal to n+sod(n) for n = 964728651198 and 964728651207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4998593952 + ... + 4998594144.

It is an arithmetic number, because the mean of its divisors is an integer number (2700670896).

Almost surely, 2^964728651264 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 964728651264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728429373440).

964728651264 is an abundant number, since it is smaller than the sum of its proper divisors (2492130095616).

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

964728651264 is a wasteful number, since it uses less digits than its factorization.

964728651264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The spelling of 964728651264 in words is "nine hundred sixty-four billion, seven hundred twenty-eight million, six hundred fifty-one thousand, two hundred sixty-four".