963641620800 has 672 divisors, whose sum is σ = 3571545612800. Its totient is φ = 252703825920.

The previous prime is 963641620751. The next prime is 963641620801. The reversal of 963641620800 is 8026146369.

963641620800 is a `hidden beast` number, since 9 + 636 + 4 + 1 + 6 + 2 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963641620801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1272974022 + ... + 1272974778.

Almost surely, 2^963641620800 is an apocalyptic number.

963641620800 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 963641620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785772806400).

963641620800 is an abundant number, since it is smaller than the sum of its proper divisors (2607903992000).

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

963641620800 is a wasteful number, since it uses less digits than its factorization.

963641620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 963641620800 in words is "nine hundred sixty-three billion, six hundred forty-one million, six hundred twenty thousand, eight hundred".