5973367680 has 896 divisors, whose sum is σ = 25686374400. Its totient is φ = 1298903040.

The previous prime is 5973367667. The next prime is 5973367681. The reversal of 5973367680 is 867633795.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×5973367680² = 71362242880937164800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5973367681) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 101243491 + ... + 101243549.

Almost surely, 2^5973367680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5973367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843187200).

5973367680 is an abundant number, since it is smaller than the sum of its proper divisors (19713006720).

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

5973367680 is an equidigital number, since it uses as much as digits as its factorization.

5973367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 5973367680 is about 77287.5648471344. The cubic root of 5973367680 is about 1814.4280418946.

The spelling of 5973367680 in words is "five billion, nine hundred seventy-three million, three hundred sixty-seven thousand, six hundred eighty".