963703794816 has 864 divisors, whose sum is σ = 3435700741200. Its totient is φ = 258435201024.

The previous prime is 963703794803. The next prime is 963703794841. The reversal of 963703794816 is 618497307369.

963703794816 is a `hidden beast` number, since 96 + 37 + 0 + 37 + 9 + 481 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1761798255 + ... + 1761798801.

Almost surely, 2^963703794816 is an apocalyptic number.

963703794816 is a gapful number since it is divisible by the number (96) 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 963703794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717850370600).

963703794816 is an abundant number, since it is smaller than the sum of its proper divisors (2471996946384).

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

963703794816 is a wasteful number, since it uses less digits than its factorization.

963703794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 963703794816 in words is "nine hundred sixty-three billion, seven hundred three million, seven hundred ninety-four thousand, eight hundred sixteen".