4661642205 has 128 divisors (see below), whose sum is σ = 9415802880. Its totient is φ = 2167776000.

The previous prime is 4661642197. The next prime is 4661642213. The reversal of 4661642205 is 5022461664.

4661642205 is a `hidden beast` number, since 4 + 6 + 6 + 1 + 642 + 2 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (4661642197) and next prime (4661642213).

It is not a de Polignac number, because 4661642205 - 2³ = 4661642197 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4661642205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6030199 + ... + 6030971.

It is an arithmetic number, because the mean of its divisors is an integer number (73560960).

Almost surely, 2^4661642205 is an apocalyptic number.

4661642205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4661642205 is an abundant number, since it is smaller than the sum of its proper divisors (4754160675).

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

4661642205 is a wasteful number, since it uses less digits than its factorization.

4661642205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4661642205 is about 68276.2199085450. The cubic root of 4661642205 is about 1670.4993552540.

The spelling of 4661642205 in words is "four billion, six hundred sixty-one million, six hundred forty-two thousand, two hundred five".