4060577664 has 288 divisors, whose sum is σ = 13815514440. Its totient is φ = 1128591360.

The previous prime is 4060577663. The next prime is 4060577683. The reversal of 4060577664 is 4667750604.

It is a happy number.

4060577664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4060577663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25863474 + ... + 25863630.

Almost surely, 2^4060577664 is an apocalyptic number.

4060577664 is a gapful number since it is divisible by the number (44) 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 4060577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6907757220).

4060577664 is an abundant number, since it is smaller than the sum of its proper divisors (9754936776).

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

4060577664 is a wasteful number, since it uses less digits than its factorization.

4060577664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 186 counting only the distinct ones).

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

The square root of 4060577664 is about 63722.6620912843. The cubic root of 4060577664 is about 1595.3743566938.

The spelling of 4060577664 in words is "four billion, sixty million, five hundred seventy-seven thousand, six hundred sixty-four".