6136525440 has 256 divisors, whose sum is σ = 21814128000. Its totient is φ = 1630347264.

The previous prime is 6136525433. The next prime is 6136525457. The reversal of 6136525440 is 445256316.

6136525440 is a `hidden beast` number, since 6 + 1 + 365 + 254 + 40 = 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 = 6136525395 and 6136525404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6548652 + ... + 6549588.

Almost surely, 2^6136525440 is an apocalyptic number.

6136525440 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 6136525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10907064000).

6136525440 is an abundant number, since it is smaller than the sum of its proper divisors (15677602560).

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

6136525440 is a wasteful number, since it uses less digits than its factorization.

6136525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6136525440 is about 78335.9779411734. The cubic root of 6136525440 is about 1830.7997579319.

The spelling of 6136525440 in words is "six billion, one hundred thirty-six million, five hundred twenty-five thousand, four hundred forty".