766852669440 has 1344 divisors, whose sum is σ = 3229301623680. Its totient is φ = 171143331840.

The previous prime is 766852669369. The next prime is 766852669441. The reversal of 766852669440 is 44966258667.

766852669440 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 526 + 69 + 4 + 40 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (766852669441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2055905094 + ... + 2055905466.

Almost surely, 2^766852669440 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 766852669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614650811840).

766852669440 is an abundant number, since it is smaller than the sum of its proper divisors (2462448954240).

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

766852669440 is a wasteful number, since it uses less digits than its factorization.

766852669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 766852669440 in words is "seven hundred sixty-six billion, eight hundred fifty-two million, six hundred sixty-nine thousand, four hundred forty".