768126431232 has 312 divisors, whose sum is σ = 2250556538880. Its totient is φ = 252401909760.

The previous prime is 768126431221. The next prime is 768126431279. The reversal of 768126431232 is 232134621867.

768126431232 is a `hidden beast` number, since 7 + 68 + 126 + 431 + 2 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 894209619 + ... + 894210477.

It is an arithmetic number, because the mean of its divisors is an integer number (7213322240).

Almost surely, 2^768126431232 is an apocalyptic number.

768126431232 is a gapful number since it is divisible by the number (72) 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 768126431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125278269440).

768126431232 is an abundant number, since it is smaller than the sum of its proper divisors (1482430107648).

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

768126431232 is a wasteful number, since it uses less digits than its factorization.

768126431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1182 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 768126431232 in words is "seven hundred sixty-eight billion, one hundred twenty-six million, four hundred thirty-one thousand, two hundred thirty-two".