6136401600 has 504 divisors, whose sum is σ = 26399569248. Its totient is φ = 1319731200.

The previous prime is 6136401581. The next prime is 6136401619. The reversal of 6136401600 is 61046316.

6136401600 is a `hidden beast` number, since 6 + 1 + 3 + 640 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6136401581) and next prime (6136401619).

It is a tau number, because it is divible by the number of its divisors (504).

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, 1711810 + ... + 1715390.

Almost surely, 2^6136401600 is an apocalyptic number.

6136401600 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 6136401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199784624).

6136401600 is an abundant number, since it is smaller than the sum of its proper divisors (20263167648).

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

6136401600 is a wasteful number, since it uses less digits than its factorization.

6136401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6136401600 is about 78335.1874957863. The cubic root of 6136401600 is about 1830.7874421804.

Adding to 6136401600 its reverse (61046316), we get a palindrome (6197447916).

The spelling of 6136401600 in words is "six billion, one hundred thirty-six million, four hundred one thousand, six hundred".