4761666000 has 1600 divisors, whose sum is σ = 23593489920. Its totient is φ = 895795200.

The previous prime is 4761665989. The next prime is 4761666043. The reversal of 4761666000 is 6661674.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 250613991 + ... + 250614009.

Almost surely, 2^4761666000 is an apocalyptic number.

4761666000 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 4761666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796744960).

4761666000 is an abundant number, since it is smaller than the sum of its proper divisors (18831823920).

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

4761666000 is a wasteful number, since it uses less digits than its factorization.

4761666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4761666000 is about 69004.8259181921. The cubic root of 4761666000 is about 1682.3627469107.

It can be divided in two parts, 4761 and 666000, that added together give a square (670761 = 819²).

The spelling of 4761666000 in words is "four billion, seven hundred sixty-one million, six hundred sixty-six thousand".