4047680520 has 192 divisors, whose sum is σ = 14237496000. Its totient is φ = 991388160.

The previous prime is 4047680491. The next prime is 4047680551. The reversal of 4047680520 is 250867404.

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 47 ways as a sum of consecutive naturals, for example, 985431 + ... + 989529.

It is an arithmetic number, because the mean of its divisors is an integer number (74153625).

Almost surely, 2^4047680520 is an apocalyptic number.

4047680520 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 4047680520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118748000).

4047680520 is an abundant number, since it is smaller than the sum of its proper divisors (10189815480).

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

4047680520 is a wasteful number, since it uses less digits than its factorization.

4047680520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4047680520 is about 63621.3841408689. The cubic root of 4047680520 is about 1593.6834974788.

The spelling of 4047680520 in words is "four billion, forty-seven million, six hundred eighty thousand, five hundred twenty".