766351050144 has 48 divisors (see below), whose sum is σ = 2020456156320. Its totient is φ = 254334839040.

The previous prime is 766351050139. The next prime is 766351050191. The reversal of 766351050144 is 441050153667.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×766351050144³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 766351050096 and 766351050105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17407762 + ... + 17451729.

It is an arithmetic number, because the mean of its divisors is an integer number (42092836590).

Almost surely, 2^766351050144 is an apocalyptic number.

It is an amenable number.

766351050144 is an abundant number, since it is smaller than the sum of its proper divisors (1254105106176).

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

766351050144 is a wasteful number, since it uses less digits than its factorization.

766351050144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34859733 (or 34859725 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 766351050144 in words is "seven hundred sixty-six billion, three hundred fifty-one million, fifty thousand, one hundred forty-four".