5364954000 has 960 divisors, whose sum is σ = 23658485760. Its totient is φ = 1147737600.

The previous prime is 5364953969. The next prime is 5364954013. The reversal of 5364954000 is 4594635.

It is a happy number.

5364954000 is a `hidden beast` number, since 5 + 3 + 649 + 5 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64637959 + ... + 64638041.

It is an arithmetic number, because the mean of its divisors is an integer number (24644256).

Almost surely, 2^5364954000 is an apocalyptic number.

5364954000 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 5364954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11829242880).

5364954000 is an abundant number, since it is smaller than the sum of its proper divisors (18293531760).

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

5364954000 is a wasteful number, since it uses less digits than its factorization.

5364954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5364954000 is about 73245.8462986127. The cubic root of 5364954000 is about 1750.6070275095.

The spelling of 5364954000 in words is "five billion, three hundred sixty-four million, nine hundred fifty-four thousand".