4765145679 has 224 divisors, whose sum is σ = 9443520000. Its totient is φ = 2386734336.

The previous prime is 4765145657. The next prime is 4765145689. The reversal of 4765145679 is 9765415674.

4765145679 is a `hidden beast` number, since 4 + 7 + 6 + 514 + 56 + 79 = 666.

It is not a de Polignac number, because 4765145679 - 2⁹ = 4765145167 is a prime.

It is a super-2 number, since 2×4765145679² = 45413226684184742082, which contains 22 as substring.

Its product of digits (6350400) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4765145689) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 80765152 + ... + 80765210.

Almost surely, 2^4765145679 is an apocalyptic number.

4765145679 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4765145679 is a deficient number, since it is larger than the sum of its proper divisors (4678374321).

4765145679 is an equidigital number, since it uses as much as digits as its factorization.

4765145679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 4765145679 is about 69030.0346153759. The cubic root of 4765145679 is about 1682.7724534367.

The spelling of 4765145679 in words is "four billion, seven hundred sixty-five million, one hundred forty-five thousand, six hundred seventy-nine".