5370408000 has 672 divisors, whose sum is σ = 21035589120. Its totient is φ = 1340697600.

The previous prime is 5370407993. The next prime is 5370408037. The reversal of 5370408000 is 8040735.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114263977 + ... + 114264023.

It is an arithmetic number, because the mean of its divisors is an integer number (31302960).

Almost surely, 2^5370408000 is an apocalyptic number.

5370408000 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 5370408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10517794560).

5370408000 is an abundant number, since it is smaller than the sum of its proper divisors (15665181120).

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

5370408000 is a wasteful number, since it uses less digits than its factorization.

5370408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5370408000 is about 73283.0676213817. The cubic root of 5370408000 is about 1751.2000476377.

Adding to 5370408000 its reverse (8040735), we get a palindrome (5378448735).

The spelling of 5370408000 in words is "five billion, three hundred seventy million, four hundred eight thousand".