4761668160 has 224 divisors, whose sum is σ = 17084649600. Its totient is φ = 1248122880.

The previous prime is 4761668141. The next prime is 4761668189. The reversal of 4761668160 is 618661674.

4761668160 is a `hidden beast` number, since 476 + 16 + 6 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505090 + ... + 514430.

Almost surely, 2^4761668160 is an apocalyptic number.

4761668160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4761668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8542324800).

4761668160 is an abundant number, since it is smaller than the sum of its proper divisors (12322981440).

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

4761668160 is a wasteful number, since it uses less digits than its factorization.

4761668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9426 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4761668160 is about 69004.8415692696. The cubic root of 4761668160 is about 1682.3630012966.

The spelling of 4761668160 in words is "four billion, seven hundred sixty-one million, six hundred sixty-eight thousand, one hundred sixty".