5332478400 has 672 divisors, whose sum is σ = 21123737280. Its totient is φ = 1303511040.

The previous prime is 5332478387. The next prime is 5332478441. The reversal of 5332478400 is 48742335.

It is a happy number.

5332478400 is a `hidden beast` number, since 5 + 3 + 3 + 247 + 8 + 400 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38923132 + ... + 38923268.

Almost surely, 2^5332478400 is an apocalyptic number.

5332478400 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 5332478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10561868640).

5332478400 is an abundant number, since it is smaller than the sum of its proper divisors (15791258880).

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

5332478400 is a wasteful number, since it uses less digits than its factorization.

5332478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5332478400 is about 73023.8207710333. The cubic root of 5332478400 is about 1747.0675678515.

The spelling of 5332478400 in words is "five billion, three hundred thirty-two million, four hundred seventy-eight thousand, four hundred".