306430400640 has 1024 divisors, whose sum is σ = 1248992317440. Its totient is φ = 62177476608.

The previous prime is 306430400621. The next prime is 306430400671. The reversal of 306430400640 is 46004034603.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 306430400598 and 306430400607.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 691716259 + ... + 691716701.

It is an arithmetic number, because the mean of its divisors is an integer number (1219719060).

Almost surely, 2^306430400640 is an apocalyptic number.

306430400640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306430400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624496158720).

306430400640 is an abundant number, since it is smaller than the sum of its proper divisors (942561916800).

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

306430400640 is a wasteful number, since it uses less digits than its factorization.

306430400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 306430400640 in words is "three hundred six billion, four hundred thirty million, four hundred thousand, six hundred forty".