963405828000 has 1152 divisors, whose sum is σ = 4278936969216. Its totient is φ = 199431936000.

The previous prime is 963405827927. The next prime is 963405828017. The reversal of 963405828000 is 828504369.

963405828000 is a `hidden beast` number, since 9 + 63 + 4 + 0 + 582 + 8 + 0 + 0 + 0 = 666.

963405828000 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1017323527 + ... + 1017324473.

It is an arithmetic number, because the mean of its divisors is an integer number (3714355008).

Almost surely, 2^963405828000 is an apocalyptic number.

963405828000 is a gapful number since it is divisible by the number (90) 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 963405828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139468484608).

963405828000 is an abundant number, since it is smaller than the sum of its proper divisors (3315531141216).

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

963405828000 is a wasteful number, since it uses less digits than its factorization.

963405828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 963405828000 in words is "nine hundred sixty-three billion, four hundred five million, eight hundred twenty-eight thousand".