6002381760 has 224 divisors, whose sum is σ = 21057242112. Its totient is φ = 1440890880.

The previous prime is 6002381741. The next prime is 6002381779. The reversal of 6002381760 is 671832006.

It is an interprime number because it is at equal distance from previous prime (6002381741) and next prime (6002381779).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367365 + ... + 383355.

Almost surely, 2^6002381760 is an apocalyptic number.

6002381760 is a gapful number since it is divisible by the number (60) 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 6002381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10528621056).

6002381760 is an abundant number, since it is smaller than the sum of its proper divisors (15054860352).

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

6002381760 is a wasteful number, since it uses less digits than its factorization.

6002381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16051 (or 16041 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 6002381760 is about 77475.0395934071. The cubic root of 6002381760 is about 1817.3610024208.

The spelling of 6002381760 in words is "six billion, two million, three hundred eighty-one thousand, seven hundred sixty".