6008774400 has 540 divisors, whose sum is σ = 22679116152. Its totient is φ = 1569300480.

The previous prime is 6008774399. The next prime is 6008774411. The reversal of 6008774400 is 44778006.

It is a happy number.

6008774400 is a `hidden beast` number, since 600 + 8 + 7 + 7 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×6008774400² = 72210739580190720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34732714 + ... + 34732886.

Almost surely, 2^6008774400 is an apocalyptic number.

6008774400 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 6008774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11339558076).

6008774400 is an abundant number, since it is smaller than the sum of its proper divisors (16670341752).

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

6008774400 is a wasteful number, since it uses less digits than its factorization.

6008774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 6008774400 is about 77516.2847406917. The cubic root of 6008774400 is about 1818.0059471099.

The spelling of 6008774400 in words is "six billion, eight million, seven hundred seventy-four thousand, four hundred".