307790817642 has 288 divisors, whose sum is σ = 893496614400. Its totient is φ = 75510792000.

The previous prime is 307790817637. The next prime is 307790817721. The reversal of 307790817642 is 246718097703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66175017 + ... + 66179667.

It is an arithmetic number, because the mean of its divisors is an integer number (3102418800).

Almost surely, 2^307790817642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307790817642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446748307200).

307790817642 is an abundant number, since it is smaller than the sum of its proper divisors (585705796758).

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

307790817642 is a wasteful number, since it uses less digits than its factorization.

307790817642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 307790817642 in words is "three hundred seven billion, seven hundred ninety million, eight hundred seventeen thousand, six hundred forty-two".