5367398400 has 684 divisors, whose sum is σ = 23664218032. Its totient is φ = 1132462080.

The previous prime is 5367398371. The next prime is 5367398401. The reversal of 5367398400 is 48937635.

5367398400 is a `hidden beast` number, since 536 + 7 + 39 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5367398401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 412876794 + ... + 412876806.

Almost surely, 2^5367398400 is an apocalyptic number.

5367398400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5367398400 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5367398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832109016).

5367398400 is an abundant number, since it is smaller than the sum of its proper divisors (18296819632).

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

5367398400 is an equidigital number, since it uses as much as digits as its factorization.

5367398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5367398400 is about 73262.5306688214. The cubic root of 5367398400 is about 1750.8728598033.

The spelling of 5367398400 in words is "five billion, three hundred sixty-seven million, three hundred ninety-eight thousand, four hundred".