5436580464 has 160 divisors (see below), whose sum is σ = 18101143040. Its totient is φ = 1530067968.

The previous prime is 5436580421. The next prime is 5436580469. The reversal of 5436580464 is 4640856345.

5436580464 is a `hidden beast` number, since 5 + 4 + 3 + 6 + 580 + 4 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5436580469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189192 + ... + 216024.

It is an arithmetic number, because the mean of its divisors is an integer number (113132144).

Almost surely, 2^5436580464 is an apocalyptic number.

5436580464 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 5436580464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050571520).

5436580464 is an abundant number, since it is smaller than the sum of its proper divisors (12664562576).

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

5436580464 is a wasteful number, since it uses less digits than its factorization.

5436580464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26924 (or 26912 counting only the distinct ones).

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

The square root of 5436580464 is about 73733.1707171203. The cubic root of 5436580464 is about 1758.3632838445.

The spelling of 5436580464 in words is "five billion, four hundred thirty-six million, five hundred eighty thousand, four hundred sixty-four".