963720014035968 has 704 divisors, whose sum is σ = 3329507280752640. Its totient is φ = 269671514112000.

The previous prime is 963720014035949. The next prime is 963720014035981. The reversal of 963720014035968 is 869530410027369.

963720014035968 is a `hidden beast` number, since 9 + 6 + 3 + 7 + 20 + 0 + 14 + 0 + 3 + 596 + 8 = 666.

963720014035968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2750551993 + ... + 2750902343.

It is a 1-persistent number, because it is pandigital, but 2⋅963720014035968 = 1927440028071936 is not.

Almost surely, 2^{963720014035968} 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 963720014035968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664753640376320).

963720014035968 is an abundant number, since it is smaller than the sum of its proper divisors (2365787266716672).

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

963720014035968 is a wasteful number, since it uses less digits than its factorization.

963720014035968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350681 (or 350657 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 963720014035968 in words is "nine hundred sixty-three trillion, seven hundred twenty billion, fourteen million, thirty-five thousand, nine hundred sixty-eight".