306606879040 has 448 divisors, whose sum is σ = 960690585600. Its totient is φ = 90298368000.

The previous prime is 306606879031. The next prime is 306606879041. The reversal of 306606879040 is 40978606603.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306606879041) 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, 266382465 + ... + 266383615.

Almost surely, 2^306606879040 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 306606879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480345292800).

306606879040 is an abundant number, since it is smaller than the sum of its proper divisors (654083706560).

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

306606879040 is a wasteful number, since it uses less digits than its factorization.

306606879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The spelling of 306606879040 in words is "three hundred six billion, six hundred six million, eight hundred seventy-nine thousand, forty".