964563005088 has 480 divisors, whose sum is σ = 3091156992000. Its totient is φ = 293934666240.

The previous prime is 964563005051. The next prime is 964563005137. The reversal of 964563005088 is 880500365469.

It is a happy number.

964563005088 is a `hidden beast` number, since 96 + 45 + 6 + 3 + 0 + 0 + 508 + 8 = 666.

It is a super-2 number, since 2×964563005088² (a number of 25 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 731282893 + ... + 731284211.

It is an arithmetic number, because the mean of its divisors is an integer number (6439910400).

Almost surely, 2^964563005088 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 964563005088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545578496000).

964563005088 is an abundant number, since it is smaller than the sum of its proper divisors (2126593986912).

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

964563005088 is a wasteful number, since it uses less digits than its factorization.

964563005088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 964563005088 in words is "nine hundred sixty-four billion, five hundred sixty-three million, five thousand, eighty-eight".