30766076145 has 96 divisors (see below), whose sum is σ = 65848723200. Its totient is φ = 13237056000.

The previous prime is 30766076129. The next prime is 30766076177. The reversal of 30766076145 is 54167066703.

30766076145 is a `hidden beast` number, since 30 + 7 + 6 + 607 + 6 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 30766076145 - 2⁴ = 30766076129 is a prime.

It is a super-2 number, since 2×30766076145² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30766076145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203770 + ... + 321020.

It is an arithmetic number, because the mean of its divisors is an integer number (685924200).

Almost surely, 2^30766076145 is an apocalyptic number.

30766076145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30766076145 is an abundant number, since it is smaller than the sum of its proper divisors (35082647055).

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

30766076145 is a wasteful number, since it uses less digits than its factorization.

30766076145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117300 (or 117283 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 30766076145 in words is "thirty billion, seven hundred sixty-six million, seventy-six thousand, one hundred forty-five".