3660578064 has 480 divisors, whose sum is σ = 12869176320. Its totient is φ = 955468800.

The previous prime is 3660578063. The next prime is 3660578101. The reversal of 3660578064 is 4608750663.

3660578064 is a `hidden beast` number, since 36 + 605 + 7 + 8 + 0 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (3660578063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27943279 + ... + 27943409.

It is an arithmetic number, because the mean of its divisors is an integer number (26810784).

Almost surely, 2^3660578064 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 3660578064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434588160).

3660578064 is an abundant number, since it is smaller than the sum of its proper divisors (9208598256).

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

3660578064 is a wasteful number, since it uses less digits than its factorization.

3660578064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3660578064 is about 60502.7112119779. The cubic root of 3660578064 is about 1541.1676734717.

The spelling of 3660578064 in words is "three billion, six hundred sixty million, five hundred seventy-eight thousand, sixty-four".