309806805672 has 256 divisors, whose sum is σ = 1077124608000. Its totient is φ = 80322119424.

The previous prime is 309806805667. The next prime is 309806805677. The reversal of 309806805672 is 276508608903.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (309806805667) and next prime (309806805677).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (309806805677) 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, 1026133 + ... + 1293275.

It is an arithmetic number, because the mean of its divisors is an integer number (4207518000).

Almost surely, 2^309806805672 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 309806805672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538562304000).

309806805672 is an abundant number, since it is smaller than the sum of its proper divisors (767317802328).

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

309806805672 is a wasteful number, since it uses less digits than its factorization.

309806805672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267237 (or 267227 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 309806805672 in words is "three hundred nine billion, eight hundred six million, eight hundred five thousand, six hundred seventy-two".