4661505072 has 80 divisors (see below), whose sum is σ = 15291719680. Its totient is φ = 1331857728.

The previous prime is 4661505031. The next prime is 4661505083. The reversal of 4661505072 is 2705051664.

It is a happy number.

4661505072 is a `hidden beast` number, since 46 + 61 + 50 + 507 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767728 + ... + 773775.

It is an arithmetic number, because the mean of its divisors is an integer number (191146496).

Almost surely, 2^4661505072 is an apocalyptic number.

4661505072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4661505072 is an abundant number, since it is smaller than the sum of its proper divisors (10630214608).

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

4661505072 is a wasteful number, since it uses less digits than its factorization.

4661505072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541527 (or 1541515 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 4661505072 is about 68275.2156496045. The cubic root of 4661505072 is about 1670.4829745578.

The spelling of 4661505072 in words is "four billion, six hundred sixty-one million, five hundred five thousand, seventy-two".