5418631680 has 960 divisors, whose sum is σ = 23510995200. Its totient is φ = 1059717120.

The previous prime is 5418631601. The next prime is 5418631693. The reversal of 5418631680 is 861368145.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318743032 + ... + 318743048.

It is an arithmetic number, because the mean of its divisors is an integer number (24490620).

Almost surely, 2^5418631680 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 5418631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11755497600).

5418631680 is an abundant number, since it is smaller than the sum of its proper divisors (18092363520).

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

5418631680 is a wasteful number, since it uses less digits than its factorization.

5418631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 5418631680 is about 73611.3556457154. The cubic root of 5418631680 is about 1756.4260809175.

The spelling of 5418631680 in words is "five billion, four hundred eighteen million, six hundred thirty-one thousand, six hundred eighty".