766348627968 has 312 divisors, whose sum is σ = 2759855357376. Its totient is φ = 199050854400.

The previous prime is 766348627883. The next prime is 766348628021. The reversal of 766348627968 is 869726843667.

766348627968 is a `hidden beast` number, since 7 + 6 + 6 + 348 + 6 + 279 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 766348627896 and 766348627905.

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, 2703538 + ... + 2973518.

It is an arithmetic number, because the mean of its divisors is an integer number (8845690248).

Almost surely, 2^766348627968 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 766348627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379927678688).

766348627968 is an abundant number, since it is smaller than the sum of its proper divisors (1993506729408).

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

766348627968 is a wasteful number, since it uses less digits than its factorization.

766348627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270029 (or 270004 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 766348627968 in words is "seven hundred sixty-six billion, three hundred forty-eight million, six hundred twenty-seven thousand, nine hundred sixty-eight".