5367686400 has 216 divisors, whose sum is σ = 19683392960. Its totient is φ = 1431336960.

The previous prime is 5367686377. The next prime is 5367686413. The reversal of 5367686400 is 46867635.

5367686400 is a `hidden beast` number, since 536 + 76 + 8 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157269 + ... + 188331.

Almost surely, 2^5367686400 is an apocalyptic number.

5367686400 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 5367686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9841696480).

5367686400 is an abundant number, since it is smaller than the sum of its proper divisors (14315706560).

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

5367686400 is a wasteful number, since it uses less digits than its factorization.

5367686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31098 (or 31073 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5367686400 is about 73264.4961765247. The cubic root of 5367686400 is about 1750.9041749351.

The spelling of 5367686400 in words is "five billion, three hundred sixty-seven million, six hundred eighty-six thousand, four hundred".