5334137600 has 216 divisors, whose sum is σ = 15253742448. Its totient is φ = 1825177600.

The previous prime is 5334137593. The next prime is 5334137609. The reversal of 5334137600 is 67314335.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (5334137609) 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, 1194572 + ... + 1199028.

It is an arithmetic number, because the mean of its divisors is an integer number (70619178).

Almost surely, 2^5334137600 is an apocalyptic number.

5334137600 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 5334137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7626871224).

5334137600 is an abundant number, since it is smaller than the sum of its proper divisors (9919604848).

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

5334137600 is a wasteful number, since it uses less digits than its factorization.

5334137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 5334137600 is about 73035.1805638899. The cubic root of 5334137600 is about 1747.2487490144.

The spelling of 5334137600 in words is "five billion, three hundred thirty-four million, one hundred thirty-seven thousand, six hundred".