4066767540 has 576 divisors, whose sum is σ = 15448043520. Its totient is φ = 878929920.

The previous prime is 4066767487. The next prime is 4066767547. The reversal of 4066767540 is 457676604.

It is a happy number.

4066767540 is a `hidden beast` number, since 40 + 6 + 6 + 7 + 67 + 540 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066767547) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39483129 + ... + 39483231.

It is an arithmetic number, because the mean of its divisors is an integer number (26819520).

Almost surely, 2^4066767540 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 4066767540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7724021760).

4066767540 is an abundant number, since it is smaller than the sum of its proper divisors (11381275980).

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

4066767540 is a wasteful number, since it uses less digits than its factorization.

4066767540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4066767540 is about 63771.2124708320. The cubic root of 4066767540 is about 1596.1845990333.

The spelling of 4066767540 in words is "four billion, sixty-six million, seven hundred sixty-seven thousand, five hundred forty".