5464860800 has 384 divisors, whose sum is σ = 16610365440. Its totient is φ = 1734082560.

The previous prime is 5464860773. The next prime is 5464860827. The reversal of 5464860800 is 80684645.

It is an interprime number because it is at equal distance from previous prime (5464860773) and next prime (5464860827).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43030337 + ... + 43030463.

It is an arithmetic number, because the mean of its divisors is an integer number (43256160).

Almost surely, 2^5464860800 is an apocalyptic number.

5464860800 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 5464860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8305182720).

5464860800 is an abundant number, since it is smaller than the sum of its proper divisors (11145504640).

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

5464860800 is a wasteful number, since it uses less digits than its factorization.

5464860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 5464860800 is about 73924.6968204808. The cubic root of 5464860800 is about 1761.4069328583.

The spelling of 5464860800 in words is "five billion, four hundred sixty-four million, eight hundred sixty thousand, eight hundred".