5964796800 has 768 divisors, whose sum is σ = 24041318400. Its totient is φ = 1437696000.

The previous prime is 5964796781. The next prime is 5964796811. The reversal of 5964796800 is 86974695.

5964796800 is a `hidden beast` number, since 5 + 96 + 479 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45532735 + ... + 45532865.

It is an arithmetic number, because the mean of its divisors is an integer number (31303800).

Almost surely, 2^5964796800 is an apocalyptic number.

5964796800 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 5964796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020659200).

5964796800 is an abundant number, since it is smaller than the sum of its proper divisors (18076521600).

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

5964796800 is a wasteful number, since it uses less digits than its factorization.

5964796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 5964796800 is about 77232.0969545693. The cubic root of 5964796800 is about 1813.5598164826.

The spelling of 5964796800 in words is "five billion, nine hundred sixty-four million, seven hundred ninety-six thousand, eight hundred".