5364187920 has 960 divisors, whose sum is σ = 24265113600. Its totient is φ = 1030164480.

The previous prime is 5364187847. The next prime is 5364187967. The reversal of 5364187920 is 297814635.

5364187920 is a `hidden beast` number, since 536 + 41 + 8 + 79 + 2 + 0 = 666.

5364187920 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

5364187920 is strictly pandigital in base 10.

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, 38591211 + ... + 38591349.

It is an arithmetic number, because the mean of its divisors is an integer number (25276160).

It is a 1-persistent number, because it is pandigital, but 2⋅5364187920 = 10728375840 is not.

Almost surely, 2^5364187920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5364187920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132556800).

5364187920 is an abundant number, since it is smaller than the sum of its proper divisors (18900925680).

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

5364187920 is a wasteful number, since it uses less digits than its factorization.

5364187920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5364187920 is about 73240.6166003537. The cubic root of 5364187920 is about 1750.5236985024.

The spelling of 5364187920 in words is "five billion, three hundred sixty-four million, one hundred eighty-seven thousand, nine hundred twenty".