766631960640 has 2688 divisors, whose sum is σ = 3657406878720. Its totient is φ = 147053740032.

The previous prime is 766631960639. The next prime is 766631960641. The reversal of 766631960640 is 46069136667.

It is an interprime number because it is at equal distance from previous prime (766631960639) and next prime (766631960641).

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 (766631960641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10501807644 + ... + 10501807716.

It is an arithmetic number, because the mean of its divisors is an integer number (1360642440).

Almost surely, 2^766631960640 is an apocalyptic number.

766631960640 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 766631960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828703439360).

766631960640 is an abundant number, since it is smaller than the sum of its proper divisors (2890774918080).

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

766631960640 is a wasteful number, since it uses less digits than its factorization.

766631960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

It can be divided in two parts, 766631 and 960640, that added together give a palindrome (1727271).

The spelling of 766631960640 in words is "seven hundred sixty-six billion, six hundred thirty-one million, nine hundred sixty thousand, six hundred forty".