5460364800 has 720 divisors, whose sum is σ = 22163581440. Its totient is φ = 1271808000.

The previous prime is 5460364787. The next prime is 5460364807. The reversal of 5460364800 is 84630645.

5460364800 is a `hidden beast` number, since 5 + 4 + 6 + 0 + 3 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460364807) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 39283131 + ... + 39283269.

It is an arithmetic number, because the mean of its divisors is an integer number (30782752).

Almost surely, 2^5460364800 is an apocalyptic number.

5460364800 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 5460364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11081790720).

5460364800 is an abundant number, since it is smaller than the sum of its proper divisors (16703216640).

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

5460364800 is a wasteful number, since it uses less digits than its factorization.

5460364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5460364800 is about 73894.2812401609. The cubic root of 5460364800 is about 1760.9237574940.

The spelling of 5460364800 in words is "five billion, four hundred sixty million, three hundred sixty-four thousand, eight hundred".