5605400064 has 240 divisors, whose sum is σ = 17211934080. Its totient is φ = 1607454720.

The previous prime is 5605400051. The next prime is 5605400071. The reversal of 5605400064 is 4600045065.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6098997 + ... + 6099915.

It is an arithmetic number, because the mean of its divisors is an integer number (71716392).

Almost surely, 2^5605400064 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 5605400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8605967040).

5605400064 is an abundant number, since it is smaller than the sum of its proper divisors (11606534016).

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

5605400064 is a wasteful number, since it uses less digits than its factorization.

5605400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5605400064 is about 74869.2197368184. The cubic root of 5605400064 is about 1776.3786223038.

The spelling of 5605400064 in words is "five billion, six hundred five million, four hundred thousand, sixty-four".