4066765974 has 96 divisors (see below), whose sum is σ = 9408407040. Its totient is φ = 1301832000.

The previous prime is 4066765973. The next prime is 4066765981. The reversal of 4066765974 is 4795676604.

4066765974 is a `hidden beast` number, since 40 + 6 + 6 + 7 + 6 + 597 + 4 = 666.

It is a super-3 number, since 3×4066765974³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4066765974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066765973) 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, 6444639 + ... + 6445269.

It is an arithmetic number, because the mean of its divisors is an integer number (98004240).

Almost surely, 2^4066765974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4066765974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704203520).

4066765974 is an abundant number, since it is smaller than the sum of its proper divisors (5341641066).

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

4066765974 is a wasteful number, since it uses less digits than its factorization.

4066765974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The square root of 4066765974 is about 63771.2001925634. The cubic root of 4066765974 is about 1596.1843941511.

The spelling of 4066765974 in words is "four billion, sixty-six million, seven hundred sixty-five thousand, nine hundred seventy-four".