766556102140 has 144 divisors (see below), whose sum is σ = 1798469148672. Its totient is φ = 273859052544.

The previous prime is 766556102129. The next prime is 766556102141. The reversal of 766556102140 is 41201655667.

It is a super-2 number, since 2×766556102140² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766556102141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16860679 + ... + 16906081.

It is an arithmetic number, because the mean of its divisors is an integer number (12489369088).

Almost surely, 2^766556102140 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 766556102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899234574336).

766556102140 is an abundant number, since it is smaller than the sum of its proper divisors (1031913046532).

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

766556102140 is a wasteful number, since it uses less digits than its factorization.

766556102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45596 (or 45577 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 766556102140 in words is "seven hundred sixty-six billion, five hundred fifty-six million, one hundred two thousand, one hundred forty".