766358221104 has 480 divisors, whose sum is σ = 2666376960000. Its totient is φ = 204789731328.

The previous prime is 766358221099. The next prime is 766358221127. The reversal of 766358221104 is 401122853667.

766358221104 is a `hidden beast` number, since 7 + 6 + 63 + 582 + 2 + 1 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 766358221104.

It is an unprimeable number.

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, 74132224 + ... + 74142560.

It is an arithmetic number, because the mean of its divisors is an integer number (5554952000).

Almost surely, 2^766358221104 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 766358221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333188480000).

766358221104 is an abundant number, since it is smaller than the sum of its proper divisors (1900018738896).

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

766358221104 is a wasteful number, since it uses less digits than its factorization.

766358221104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10470 (or 10447 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 766358221104 in words is "seven hundred sixty-six billion, three hundred fifty-eight million, two hundred twenty-one thousand, one hundred four".