4760105007 has 16 divisors (see below), whose sum is σ = 7257605120. Its totient is φ = 2718518112.

The previous prime is 4760104991. The next prime is 4760105027. The reversal of 4760105007 is 7005010674.

It is a happy number.

It is not a de Polignac number, because 4760105007 - 2⁴ = 4760104991 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4760105027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25783 + ... + 100920.

It is an arithmetic number, because the mean of its divisors is an integer number (453600320).

Almost surely, 2^4760105007 is an apocalyptic number.

4760105007 is a deficient number, since it is larger than the sum of its proper divisors (2497500113).

4760105007 is a wasteful number, since it uses less digits than its factorization.

4760105007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128502.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 4760105007 is about 68993.5142386587. The cubic root of 4760105007 is about 1682.1788866471.

The spelling of 4760105007 in words is "four billion, seven hundred sixty million, one hundred five thousand, seven".