766301518048 has 384 divisors, whose sum is σ = 1812771975168. Its totient is φ = 315463680000.

The previous prime is 766301518027. The next prime is 766301518063. The reversal of 766301518048 is 840815103667.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 766301517992 and 766301518010.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1173508890 + ... + 1173509542.

It is an arithmetic number, because the mean of its divisors is an integer number (4720760352).

Almost surely, 2^766301518048 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 766301518048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906385987584).

766301518048 is an abundant number, since it is smaller than the sum of its proper divisors (1046470457120).

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

766301518048 is a wasteful number, since it uses less digits than its factorization.

766301518048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 766301518048 in words is "seven hundred sixty-six billion, three hundred one million, five hundred eighteen thousand, forty-eight".