5408124964 has 192 divisors, whose sum is σ = 12035358720. Its totient is φ = 2095632000.

The previous prime is 5408124959. The next prime is 5408124971. The reversal of 5408124964 is 4694218045.

It is a super-3 number, since 3×5408124964³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 5408124964.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25630819 + ... + 25631029.

It is an arithmetic number, because the mean of its divisors is an integer number (62684160).

Almost surely, 2^5408124964 is an apocalyptic number.

It is an amenable number.

5408124964 is an abundant number, since it is smaller than the sum of its proper divisors (6627233756).

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

5408124964 is a wasteful number, since it uses less digits than its factorization.

5408124964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 5408124964 is about 73539.9548816832. The cubic root of 5408124964 is about 1755.2901108325.

The spelling of 5408124964 in words is "five billion, four hundred eight million, one hundred twenty-four thousand, nine hundred sixty-four".