4107356064 has 72 divisors (see below), whose sum is σ = 13348913760. Its totient is φ = 1173529728.

The previous prime is 4107356063. The next prime is 4107356089. The reversal of 4107356064 is 4606537014.

It is a happy number.

4107356064 is a `hidden beast` number, since 4 + 10 + 7 + 35 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4107356063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1016674 + ... + 1020705.

It is an arithmetic number, because the mean of its divisors is an integer number (185401580).

Almost surely, 2^4107356064 is an apocalyptic number.

It is an amenable number.

4107356064 is an abundant number, since it is smaller than the sum of its proper divisors (9241557696).

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

4107356064 is a wasteful number, since it uses less digits than its factorization.

4107356064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037402 (or 2037391 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4107356064 is about 64088.6578420862. The cubic root of 4107356064 is about 1601.4772897562.

The spelling of 4107356064 in words is "four billion, one hundred seven million, three hundred fifty-six thousand, sixty-four".