4629952752705 has 48 divisors (see below), whose sum is σ = 9172182165120. Its totient is φ = 2116442237184.

The previous prime is 4629952752701. The next prime is 4629952752707. The reversal of 4629952752705 is 5072572599264.

4629952752705 is a `hidden beast` number, since 4 + 6 + 2 + 9 + 95 + 275 + 270 + 5 = 666.

It is not a de Polignac number, because 4629952752705 - 2² = 4629952752701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4629952752701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6005509 + ... + 6732461.

It is an arithmetic number, because the mean of its divisors is an integer number (191087128440).

Almost surely, 2^{4629952752705} is an apocalyptic number.

4629952752705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4629952752705 is a deficient number, since it is larger than the sum of its proper divisors (4542229412415).

4629952752705 is a wasteful number, since it uses less digits than its factorization.

4629952752705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747190 (or 747187 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 4629952752705 in words is "four trillion, six hundred twenty-nine billion, nine hundred fifty-two million, seven hundred fifty-two thousand, seven hundred five".