761828646816 has 144 divisors (see below), whose sum is σ = 2266573929984. Its totient is φ = 251695309824.

The previous prime is 761828646779. The next prime is 761828646823. The reversal of 761828646816 is 618646828167.

761828646816 is a `hidden beast` number, since 7 + 6 + 1 + 82 + 86 + 468 + 16 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 445185 + ... + 1312191.

It is an arithmetic number, because the mean of its divisors is an integer number (15740096736).

Almost surely, 2^761828646816 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 761828646816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133286964992).

761828646816 is an abundant number, since it is smaller than the sum of its proper divisors (1504745283168).

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

761828646816 is a wasteful number, since it uses less digits than its factorization.

761828646816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867145 (or 867125 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 761828646816 in words is "seven hundred sixty-one billion, eight hundred twenty-eight million, six hundred forty-six thousand, eight hundred sixteen".