766106127360 has 528 divisors, whose sum is σ = 3038717328192. Its totient is φ = 174823833600.

The previous prime is 766106127349. The next prime is 766106127431. The reversal of 766106127360 is 63721601667.

766106127360 is a `hidden beast` number, since 7 + 6 + 610 + 6 + 1 + 27 + 3 + 6 + 0 = 666.

766106127360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245466600 + ... + 245469720.

Almost surely, 2^766106127360 is an apocalyptic number.

766106127360 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 766106127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519358664096).

766106127360 is an abundant number, since it is smaller than the sum of its proper divisors (2272611200832).

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

766106127360 is a wasteful number, since it uses less digits than its factorization.

766106127360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 766106127360 in words is "seven hundred sixty-six billion, one hundred six million, one hundred twenty-seven thousand, three hundred sixty".