4687268040 has 512 divisors, whose sum is σ = 19764864000. Its totient is φ = 961486848.

The previous prime is 4687268021. The next prime is 4687268081. The reversal of 4687268040 is 408627864.

4687268040 is a `hidden beast` number, since 468 + 72 + 6 + 80 + 40 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3635716 + ... + 3637004.

It is an arithmetic number, because the mean of its divisors is an integer number (38603250).

Almost surely, 2^4687268040 is an apocalyptic number.

4687268040 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 4687268040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9882432000).

4687268040 is an abundant number, since it is smaller than the sum of its proper divisors (15077595960).

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

4687268040 is a wasteful number, since it uses less digits than its factorization.

4687268040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4687268040 is about 68463.6256708626. The cubic root of 4687268040 is about 1673.5547691204.

The spelling of 4687268040 in words is "four billion, six hundred eighty-seven million, two hundred sixty-eight thousand, forty".