4087273008 has 320 divisors, whose sum is σ = 14489072640. Its totient is φ = 960823296.

The previous prime is 4087272997. The next prime is 4087273013. The reversal of 4087273008 is 8003727804.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1409416 + ... + 1412312.

It is an arithmetic number, because the mean of its divisors is an integer number (45278352).

Almost surely, 2^4087273008 is an apocalyptic number.

4087273008 is a gapful number since it is divisible by the number (48) 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 4087273008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244536320).

4087273008 is an abundant number, since it is smaller than the sum of its proper divisors (10401799632).

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

4087273008 is a wasteful number, since it uses less digits than its factorization.

4087273008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 4087273008 is about 63931.7840201570. The cubic root of 4087273008 is about 1598.8628649355.

The spelling of 4087273008 in words is "four billion, eighty-seven million, two hundred seventy-three thousand, eight".