4064936745600 has 192 divisors, whose sum is σ = 14876539656000. Its totient is φ = 1083983109120.

The previous prime is 4064936745517. The next prime is 4064936745629. The reversal of 4064936745600 is 65476394604.

It is a happy number.

4064936745600 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 9 + 3 + 6 + 74 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23437540 + ... + 23610339.

It is an arithmetic number, because the mean of its divisors is an integer number (77481977375).

Almost surely, 2^{4064936745600} is an apocalyptic number.

4064936745600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4064936745600 is an abundant number, since it is smaller than the sum of its proper divisors (10811602910400).

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

4064936745600 is a wasteful number, since it uses less digits than its factorization.

4064936745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47047912 (or 47047889 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 4064936745600 in words is "four trillion, sixty-four billion, nine hundred thirty-six million, seven hundred forty-five thousand, six hundred".