5963328000 has 1280 divisors, whose sum is σ = 27576806400. Its totient is φ = 1238630400.

The previous prime is 5963327941. The next prime is 5963328023. The reversal of 5963328000 is 8233695.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×5963328000² = 71122561671168000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 205631986 + ... + 205632014.

It is an arithmetic number, because the mean of its divisors is an integer number (21544380).

Almost surely, 2^5963328000 is an apocalyptic number.

5963328000 is a gapful number since it is divisible by the number (50) 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 5963328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788403200).

5963328000 is an abundant number, since it is smaller than the sum of its proper divisors (21613478400).

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

5963328000 is a wasteful number, since it uses less digits than its factorization.

5963328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5963328000 is about 77222.5873692406. The cubic root of 5963328000 is about 1813.4109443906.

The spelling of 5963328000 in words is "five billion, nine hundred sixty-three million, three hundred twenty-eight thousand".