6008994201600 has 1836 divisors, whose sum is σ = 24631352001256. Its totient is φ = 1444738498560.

The previous prime is 6008994201577. The next prime is 6008994201619. The reversal of 6008994201600 is 61024998006.

It is a happy number.

6008994201600 is a `hidden beast` number, since 60 + 0 + 8 + 9 + 9 + 420 + 160 + 0 = 666.

It is a super-2 number, since 2×6008994201600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 139744051179 + ... + 139744051221.

Almost surely, 2^{6008994201600} is an apocalyptic number.

6008994201600 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 6008994201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12315676000628).

6008994201600 is an abundant number, since it is smaller than the sum of its proper divisors (18622357799656).

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

6008994201600 is an frugal number, since it uses more digits than its factorization.

6008994201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 6008994201600 in words is "six trillion, eight billion, nine hundred ninety-four million, two hundred one thousand, six hundred".