6003812880 has 240 divisors, whose sum is σ = 22394280960. Its totient is φ = 1477771776.

The previous prime is 6003812863. The next prime is 6003812909. The reversal of 6003812880 is 882183006.

6003812880 is a `hidden beast` number, since 600 + 38 + 12 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 356817 + ... + 373263.

It is an arithmetic number, because the mean of its divisors is an integer number (93309504).

Almost surely, 2^6003812880 is an apocalyptic number.

6003812880 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 6003812880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11197140480).

6003812880 is an abundant number, since it is smaller than the sum of its proper divisors (16390468080).

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

6003812880 is a wasteful number, since it uses less digits than its factorization.

6003812880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16495 (or 16470 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6003812880 is about 77484.2750498448. The cubic root of 6003812880 is about 1817.5054259238.

Adding to 6003812880 its reverse (882183006), we get a palindrome (6885995886).

The spelling of 6003812880 in words is "six billion, three million, eight hundred twelve thousand, eight hundred eighty".