5409763200 has 384 divisors, whose sum is σ = 20068581600. Its totient is φ = 1440737280.

The previous prime is 5409763199. The next prime is 5409763217. The reversal of 5409763200 is 23679045.

5409763200 is a `hidden beast` number, since 540 + 97 + 6 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6998014 + ... + 6998786.

Almost surely, 2^5409763200 is an apocalyptic number.

5409763200 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 5409763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10034290800).

5409763200 is an abundant number, since it is smaller than the sum of its proper divisors (14658818400).

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

5409763200 is an frugal number, since it uses more digits than its factorization.

5409763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5409763200 is about 73551.0924459997. The cubic root of 5409763200 is about 1755.4673311667.

The spelling of 5409763200 in words is "five billion, four hundred nine million, seven hundred sixty-three thousand, two hundred".