75853938636 has 216 divisors, whose sum is σ = 237702366720. Its totient is φ = 20288689344.

The previous prime is 75853938631. The next prime is 75853938679. The reversal of 75853938636 is 63683935857.

75853938636 is a `hidden beast` number, since 7 + 5 + 8 + 539 + 38 + 63 + 6 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (75853938631) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1886995 + ... + 1926773.

It is an arithmetic number, because the mean of its divisors is an integer number (1100473920).

Almost surely, 2^75853938636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75853938636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118851183360).

75853938636 is an abundant number, since it is smaller than the sum of its proper divisors (161848428084).

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

75853938636 is a wasteful number, since it uses less digits than its factorization.

75853938636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39873 (or 39861 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 75853938636 in words is "seventy-five billion, eight hundred fifty-three million, nine hundred thirty-eight thousand, six hundred thirty-six".