4006776160 has 24 divisors (see below), whose sum is σ = 9466009056. Its totient is φ = 1602710400.

The previous prime is 4006776089. The next prime is 4006776161. The reversal of 4006776160 is 616776004.

4006776160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006776161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12521016 + ... + 12521335.

It is an arithmetic number, because the mean of its divisors is an integer number (394417044).

Almost surely, 2^4006776160 is an apocalyptic number.

4006776160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4006776160 is an abundant number, since it is smaller than the sum of its proper divisors (5459232896).

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

4006776160 is a wasteful number, since it uses less digits than its factorization.

4006776160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25042366 (or 25042358 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 4006776160 is about 63299.1007835024. The cubic root of 4006776160 is about 1588.2969199058.

The spelling of 4006776160 in words is "four billion, six million, seven hundred seventy-six thousand, one hundred sixty".