4728271695840 has 1920 divisors, whose sum is σ = 21421717954560. Its totient is φ = 953648640000.

The previous prime is 4728271695739. The next prime is 4728271695853. The reversal of 4728271695840 is 485961728274.

It is a happy number.

4728271695840 is a `hidden beast` number, since 4 + 7 + 28 + 27 + 1 + 6 + 9 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 10770550341 + ... + 10770550779.

It is an arithmetic number, because the mean of its divisors is an integer number (11157144768).

Almost surely, 2^{4728271695840} is an apocalyptic number.

4728271695840 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 4728271695840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710858977280).

4728271695840 is an abundant number, since it is smaller than the sum of its proper divisors (16693446258720).

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

4728271695840 is a wasteful number, since it uses less digits than its factorization.

4728271695840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 4728271695840 in words is "four trillion, seven hundred twenty-eight billion, two hundred seventy-one million, six hundred ninety-five thousand, eight hundred forty".