5381564672 has 144 divisors (see below), whose sum is σ = 12153722112. Its totient is φ = 2357084160.

The previous prime is 5381564647. The next prime is 5381564689. The reversal of 5381564672 is 2764651835.

It is a super-2 number, since 2×5381564672² = 57922476637836935168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 9661418 + ... + 9661974.

It is an arithmetic number, because the mean of its divisors is an integer number (84400848).

Almost surely, 2^5381564672 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 5381564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076861056).

5381564672 is an abundant number, since it is smaller than the sum of its proper divisors (6772157440).

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

5381564672 is a wasteful number, since it uses less digits than its factorization.

5381564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 690 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 47.

The square root of 5381564672 is about 73359.1485228666. The cubic root of 5381564672 is about 1752.4118767820.

The spelling of 5381564672 in words is "five billion, three hundred eighty-one million, five hundred sixty-four thousand, six hundred seventy-two".