5969964000 has 1152 divisors, whose sum is σ = 27104523264. Its totient is φ = 1128960000.

The previous prime is 5969963971. The next prime is 5969964079. The reversal of 5969964000 is 4699695.

It is a happy number.

It is a super-2 number, since 2×5969964000² = 71280940322592000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 84083965 + ... + 84084035.

It is an arithmetic number, because the mean of its divisors is an integer number (23528232).

Almost surely, 2^5969964000 is an apocalyptic number.

5969964000 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 5969964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552261632).

5969964000 is an abundant number, since it is smaller than the sum of its proper divisors (21134559264).

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

5969964000 is a wasteful number, since it uses less digits than its factorization.

5969964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 5969964000 is about 77265.5421258403. The cubic root of 5969964000 is about 1814.0833504723.

It can be divided in two parts, 5969 and 964000, that added together give a palindrome (969969).

The spelling of 5969964000 in words is "five billion, nine hundred sixty-nine million, nine hundred sixty-four thousand".