4033680000 has 480 divisors, whose sum is σ = 15620124960. Its totient is φ = 921984000.

The previous prime is 4033679933. The next prime is 4033680019. The reversal of 4033680000 is 863304.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 576239997 + ... + 576240003.

It is an arithmetic number, because the mean of its divisors is an integer number (32541927).

Almost surely, 2^4033680000 is an apocalyptic number.

4033680000 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 4033680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810062480).

4033680000 is an abundant number, since it is smaller than the sum of its proper divisors (11586444960).

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

4033680000 is an frugal number, since it uses more digits than its factorization.

4033680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4033680000 is about 63511.2588443970. The cubic root of 4033680000 is about 1591.8439111968.

The spelling of 4033680000 in words is "four billion, thirty-three million, six hundred eighty thousand".