6638075136 has 864 divisors, whose sum is σ = 26447855616. Its totient is φ = 1548288000.

The previous prime is 6638075113. The next prime is 6638075173. The reversal of 6638075136 is 6315708366.

6638075136 is a `hidden beast` number, since 6 + 638 + 0 + 7 + 5 + 1 + 3 + 6 = 666.

It is a super-2 number, since 2×6638075136² = 88128083022362836992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6638075091 and 6638075100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93493981 + ... + 93494051.

It is an arithmetic number, because the mean of its divisors is an integer number (30610944).

Almost surely, 2^6638075136 is an apocalyptic number.

6638075136 is a gapful number since it is divisible by the number (66) 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 6638075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13223927808).

6638075136 is an abundant number, since it is smaller than the sum of its proper divisors (19809780480).

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

6638075136 is a wasteful number, since it uses less digits than its factorization.

6638075136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6638075136 is about 81474.3833115661. The cubic root of 6638075136 is about 1879.3776361534.

The spelling of 6638075136 in words is "six billion, six hundred thirty-eight million, seventy-five thousand, one hundred thirty-six".