6002481672 has 640 divisors, whose sum is σ = 21076070400. Its totient is φ = 1573862400.

The previous prime is 6002481647. The next prime is 6002481697. The reversal of 6002481672 is 2761842006.

6002481672 is a `hidden beast` number, since 600 + 2 + 48 + 1 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6002481647) and next prime (6002481697).

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 159 ways as a sum of consecutive naturals, for example, 127712353 + ... + 127712399.

It is an arithmetic number, because the mean of its divisors is an integer number (32931360).

Almost surely, 2^6002481672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6002481672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10538035200).

6002481672 is an abundant number, since it is smaller than the sum of its proper divisors (15073588728).

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

6002481672 is a wasteful number, since it uses less digits than its factorization.

6002481672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6002481672 is about 77475.6843919433. The cubic root of 6002481672 is about 1817.3710859272.

The spelling of 6002481672 in words is "six billion, two million, four hundred eighty-one thousand, six hundred seventy-two".