5414267664 has 160 divisors (see below), whose sum is σ = 17617622400. Its totient is φ = 1578216960.

The previous prime is 5414267653. The next prime is 5414267687. The reversal of 5414267664 is 4667624145.

5414267664 is a `hidden beast` number, since 541 + 42 + 6 + 7 + 6 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81334 + ... + 132074.

It is an arithmetic number, because the mean of its divisors is an integer number (110110140).

Almost surely, 2^5414267664 is an apocalyptic number.

5414267664 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 5414267664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808811200).

5414267664 is an abundant number, since it is smaller than the sum of its proper divisors (12203354736).

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

5414267664 is a wasteful number, since it uses less digits than its factorization.

5414267664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50790 (or 50778 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 5414267664 is about 73581.7074006849. The cubic root of 5414267664 is about 1755.9544286235.

The spelling of 5414267664 in words is "five billion, four hundred fourteen million, two hundred sixty-seven thousand, six hundred sixty-four".