4761639680 has 324 divisors, whose sum is σ = 13883093280. Its totient is φ = 1559900160.

The previous prime is 4761639679. The next prime is 4761639713. The reversal of 4761639680 is 869361674.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60273881 + ... + 60273959.

Almost surely, 2^4761639680 is an apocalyptic number.

4761639680 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 4761639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941546640).

4761639680 is an abundant number, since it is smaller than the sum of its proper divisors (9121453600).

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

4761639680 is an equidigital number, since it uses as much as digits as its factorization.

4761639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The square root of 4761639680 is about 69004.6352066294. The cubic root of 4761639680 is about 1682.3596471644.

The spelling of 4761639680 in words is "four billion, seven hundred sixty-one million, six hundred thirty-nine thousand, six hundred eighty".