963329964960 has 768 divisors, whose sum is σ = 3609839665152. Its totient is φ = 213501235200.

The previous prime is 963329964941. The next prime is 963329964979. The reversal of 963329964960 is 69469923369.

It is an interprime number because it is at equal distance from previous prime (963329964941) and next prime (963329964979).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 963329964891 and 963329964900.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 312463579 + ... + 312466661.

It is an arithmetic number, because the mean of its divisors is an integer number (4700312064).

Almost surely, 2^963329964960 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 963329964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804919832576).

963329964960 is an abundant number, since it is smaller than the sum of its proper divisors (2646509700192).

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

963329964960 is a wasteful number, since it uses less digits than its factorization.

963329964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 102036672, while the sum is 66.

The spelling of 963329964960 in words is "nine hundred sixty-three billion, three hundred twenty-nine million, nine hundred sixty-four thousand, nine hundred sixty".