6116407200 has 432 divisors, whose sum is σ = 22725795456. Its totient is φ = 1604966400.

The previous prime is 6116407151. The next prime is 6116407223. The reversal of 6116407200 is 27046116.

6116407200 = 36³ + 37³ + ... + 395³.

6116407200 is a `hidden beast` number, since 6 + 11 + 640 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14190985 + ... + 14191415.

It is an arithmetic number, because the mean of its divisors is an integer number (52606008).

Almost surely, 2^6116407200 is an apocalyptic number.

6116407200 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 6116407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11362897728).

6116407200 is an abundant number, since it is smaller than the sum of its proper divisors (16609388256).

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

6116407200 is a wasteful number, since it uses less digits than its factorization.

6116407200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6116407200 is about 78207.4625595282. The cubic root of 6116407200 is about 1828.7968441882.

The spelling of 6116407200 in words is "six billion, one hundred sixteen million, four hundred seven thousand, two hundred".