5385464064 has 144 divisors (see below), whose sum is σ = 15967728000. Its totient is φ = 1790429184.

The previous prime is 5385464059. The next prime is 5385464131. The reversal of 5385464064 is 4604645835.

5385464064 is a `hidden beast` number, since 5 + 3 + 8 + 546 + 40 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3475962 + ... + 3477510.

It is an arithmetic number, because the mean of its divisors is an integer number (110887000).

Almost surely, 2^5385464064 is an apocalyptic number.

5385464064 is a gapful number since it is divisible by the number (54) 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 5385464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983864000).

5385464064 is an abundant number, since it is smaller than the sum of its proper divisors (10582263936).

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

5385464064 is a wasteful number, since it uses less digits than its factorization.

5385464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 5385464064 is about 73385.7211179396. The cubic root of 5385464064 is about 1752.8350307339.

The spelling of 5385464064 in words is "five billion, three hundred eighty-five million, four hundred sixty-four thousand, sixty-four".