4687409760 has 192 divisors, whose sum is σ = 16150627584. Its totient is φ = 1133312000.

The previous prime is 4687409759. The next prime is 4687409773. The reversal of 4687409760 is 679047864.

It is a congruent number.

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, 2464810 + ... + 2466710.

It is an arithmetic number, because the mean of its divisors is an integer number (84117852).

Almost surely, 2^4687409760 is an apocalyptic number.

4687409760 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 4687409760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8075313792).

4687409760 is an abundant number, since it is smaller than the sum of its proper divisors (11463217824).

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

4687409760 is a wasteful number, since it uses less digits than its factorization.

4687409760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 4687409760 is about 68464.6606651928. The cubic root of 4687409760 is about 1673.5716356468.

The spelling of 4687409760 in words is "four billion, six hundred eighty-seven million, four hundred nine thousand, seven hundred sixty".