307668400128 has 144 divisors (see below), whose sum is σ = 940874538240. Its totient is φ = 96523321344.

The previous prime is 307668400121. The next prime is 307668400181. The reversal of 307668400128 is 821004866703.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×307668400128² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307668400121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177600 + ... + 804287.

It is an arithmetic number, because the mean of its divisors is an integer number (6533850960).

Almost surely, 2^307668400128 is an apocalyptic number.

It is an amenable number.

307668400128 is an abundant number, since it is smaller than the sum of its proper divisors (633206138112).

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

307668400128 is a wasteful number, since it uses less digits than its factorization.

307668400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981932 (or 981909 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 307668400128 in words is "three hundred seven billion, six hundred sixty-eight million, four hundred thousand, one hundred twenty-eight".