4027968000 has 960 divisors, whose sum is σ = 17659369728. Its totient is φ = 895795200.

The previous prime is 4027967987. The next prime is 4027968011. The reversal of 4027968000 is 8697204.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 108863982 + ... + 108864018.

Almost surely, 2^4027968000 is an apocalyptic number.

4027968000 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 4027968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8829684864).

4027968000 is an abundant number, since it is smaller than the sum of its proper divisors (13631401728).

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

4027968000 is an frugal number, since it uses more digits than its factorization.

4027968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4027968000 is about 63466.2745085924. The cubic root of 4027968000 is about 1591.0921652522.

The spelling of 4027968000 in words is "four billion, twenty-seven million, nine hundred sixty-eight thousand".