5805166640 has 320 divisors, whose sum is σ = 17758863360. Its totient is φ = 1714728960.

The previous prime is 5805166607. The next prime is 5805166643. The reversal of 5805166640 is 466615085.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5805166643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6544277 + ... + 6545163.

It is an arithmetic number, because the mean of its divisors is an integer number (55496448).

Almost surely, 2^5805166640 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 5805166640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8879431680).

5805166640 is an abundant number, since it is smaller than the sum of its proper divisors (11953696720).

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

5805166640 is a wasteful number, since it uses less digits than its factorization.

5805166640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 5805166640 is about 76191.6441612858. The cubic root of 5805166640 is about 1797.2351214556.

The spelling of 5805166640 in words is "five billion, eight hundred five million, one hundred sixty-six thousand, six hundred forty".