4761711360 has 468 divisors, whose sum is σ = 19552765008. Its totient is φ = 1088391168.

The previous prime is 4761711349. The next prime is 4761711377. The reversal of 4761711360 is 631171674.

4761711360 is a `hidden beast` number, since 4 + 7 + 617 + 1 + 1 + 36 + 0 = 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 51 ways as a sum of consecutive naturals, for example, 680244477 + ... + 680244483.

Almost surely, 2^4761711360 is an apocalyptic number.

4761711360 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 4761711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9776382504).

4761711360 is an abundant number, since it is smaller than the sum of its proper divisors (14791053648).

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

4761711360 is an frugal number, since it uses more digits than its factorization.

4761711360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 4761711360 is about 69005.1545900739. The cubic root of 4761711360 is about 1682.3680889998.

The spelling of 4761711360 in words is "four billion, seven hundred sixty-one million, seven hundred eleven thousand, three hundred sixty".