307653358768 has 80 divisors (see below), whose sum is σ = 703544970240. Its totient is φ = 127595939328.

The previous prime is 307653358729. The next prime is 307653358769. The reversal of 307653358768 is 867853356703.

It is a super-2 number, since 2×307653358768² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (307653358769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140155 + ... + 796837.

It is an arithmetic number, because the mean of its divisors is an integer number (8794312128).

Almost surely, 2^307653358768 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 307653358768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351772485120).

307653358768 is an abundant number, since it is smaller than the sum of its proper divisors (395891611472).

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

307653358768 is a wasteful number, since it uses less digits than its factorization.

307653358768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656834 (or 656828 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 61.

The spelling of 307653358768 in words is "three hundred seven billion, six hundred fifty-three million, three hundred fifty-eight thousand, seven hundred sixty-eight".