6136444440 has 768 divisors, whose sum is σ = 26593920000. Its totient is φ = 1247145984.

The previous prime is 6136444439. The next prime is 6136444477. The reversal of 6136444440 is 444446316.

6136444440 is a `hidden beast` number, since 6 + 1 + 3 + 644 + 4 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6136444395 and 6136444404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17092981 + ... + 17093339.

It is an arithmetic number, because the mean of its divisors is an integer number (34627500).

Almost surely, 2^6136444440 is an apocalyptic number.

6136444440 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 6136444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13296960000).

6136444440 is an abundant number, since it is smaller than the sum of its proper divisors (20457475560).

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

6136444440 is a wasteful number, since it uses less digits than its factorization.

6136444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 6136444440 is about 78335.4609356452. The cubic root of 6136444440 is about 1830.7917025899.

The spelling of 6136444440 in words is "six billion, one hundred thirty-six million, four hundred forty-four thousand, four hundred forty".