307673346960 has 480 divisors, whose sum is σ = 1203904635648. Its totient is φ = 68961300480.

The previous prime is 307673346923. The next prime is 307673346961. The reversal of 307673346960 is 69643376703.

307673346960 is a `hidden beast` number, since 30 + 7 + 67 + 33 + 469 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 307673346897 and 307673346906.

It is not an unprimeable number, because it can be changed into a prime (307673346961) 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 95 ways as a sum of consecutive naturals, for example, 114673779 + ... + 114676461.

Almost surely, 2^307673346960 is an apocalyptic number.

307673346960 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 307673346960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601952317824).

307673346960 is an abundant number, since it is smaller than the sum of its proper divisors (896231288688).

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

307673346960 is a wasteful number, since it uses less digits than its factorization.

307673346960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 54.

The spelling of 307673346960 in words is "three hundred seven billion, six hundred seventy-three million, three hundred forty-six thousand, nine hundred sixty".