5364416400 has 120 divisors (see below), whose sum is σ = 19638903744. Its totient is φ = 1226150400.

The previous prime is 5364416389. The next prime is 5364416401. The reversal of 5364416400 is 46144635.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (5364416401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310911 + ... + 327710.

Almost surely, 2^5364416400 is an apocalyptic number.

5364416400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5364416400 is an abundant number, since it is smaller than the sum of its proper divisors (14274487344).

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

5364416400 is a wasteful number, since it uses less digits than its factorization.

5364416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638649 (or 638638 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 5364416400 is about 73242.1763739992. The cubic root of 5364416400 is about 1750.5485518435.

The spelling of 5364416400 in words is "five billion, three hundred sixty-four million, four hundred sixteen thousand, four hundred".