6160838400 has 432 divisors, whose sum is σ = 22879473120. Its totient is φ = 1622016000.

The previous prime is 6160838393. The next prime is 6160838417. The reversal of 6160838400 is 48380616.

It is a happy number.

6160838400 is a `hidden beast` number, since 6 + 1 + 608 + 3 + 8 + 40 + 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 (36).

It is a congruent number.

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, 17452624 + ... + 17452976.

Almost surely, 2^6160838400 is an apocalyptic number.

6160838400 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 6160838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11439736560).

6160838400 is an abundant number, since it is smaller than the sum of its proper divisors (16718634720).

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

6160838400 is a wasteful number, since it uses less digits than its factorization.

6160838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6160838400 is about 78491.0084022367. The cubic root of 6160838400 is about 1833.2144525302.

The spelling of 6160838400 in words is "six billion, one hundred sixty million, eight hundred thirty-eight thousand, four hundred".