766419675840 has 896 divisors, whose sum is σ = 3335871651840. Its totient is φ = 161309491200.

The previous prime is 766419675829. The next prime is 766419675851. The reversal of 766419675840 is 48576914667.

It is a happy number.

766419675840 is a `hidden beast` number, since 7 + 6 + 6 + 41 + 9 + 6 + 7 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (766419675829) and next prime (766419675851).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 409630105 + ... + 409631975.

It is an arithmetic number, because the mean of its divisors is an integer number (3723071040).

Almost surely, 2^766419675840 is an apocalyptic number.

766419675840 is a gapful number since it is divisible by the number (70) 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 766419675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667935825920).

766419675840 is an abundant number, since it is smaller than the sum of its proper divisors (2569451976000).

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

766419675840 is a wasteful number, since it uses less digits than its factorization.

766419675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 766419675840 in words is "seven hundred sixty-six billion, four hundred nineteen million, six hundred seventy-five thousand, eight hundred forty".