766832665140 has 384 divisors, whose sum is σ = 2489122621440. Its totient is φ = 198306662400.

The previous prime is 766832665133. The next prime is 766832665141. The reversal of 766832665140 is 41566238667.

766832665140 is a `hidden beast` number, since 7 + 6 + 68 + 3 + 2 + 66 + 514 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766832665141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 232301490 + ... + 232304790.

It is an arithmetic number, because the mean of its divisors is an integer number (6482090160).

Almost surely, 2^766832665140 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 766832665140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244561310720).

766832665140 is an abundant number, since it is smaller than the sum of its proper divisors (1722289956300).

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

766832665140 is a wasteful number, since it uses less digits than its factorization.

766832665140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 766832665140 in words is "seven hundred sixty-six billion, eight hundred thirty-two million, six hundred sixty-five thousand, one hundred forty".