4087480320 has 720 divisors, whose sum is σ = 18270318528. Its totient is φ = 849346560.

The previous prime is 4087480297. The next prime is 4087480367. The reversal of 4087480320 is 230847804.

It is a tau number, because it is divible by the number of its divisors (720).

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 39 ways as a sum of consecutive naturals, for example, 371589115 + ... + 371589125.

Almost surely, 2^4087480320 is an apocalyptic number.

4087480320 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 4087480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9135159264).

4087480320 is an abundant number, since it is smaller than the sum of its proper divisors (14182838208).

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

4087480320 is an frugal number, since it uses more digits than its factorization.

4087480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4087480320 is about 63933.4053527575. The cubic root of 4087480320 is about 1598.8898966389.

The spelling of 4087480320 in words is "four billion, eighty-seven million, four hundred eighty thousand, three hundred twenty".