36625144050 has 144 divisors (see below), whose sum is σ = 107887291200. Its totient is φ = 8833968000.

The previous prime is 36625144033. The next prime is 36625144051. The reversal of 36625144050 is 5044152663.

36625144050 is a `hidden beast` number, since 36 + 62 + 514 + 4 + 0 + 50 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36625143996 and 36625144014.

It is not an unprimeable number, because it can be changed into a prime (36625144051) 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, 966460 + ... + 1003640.

It is an arithmetic number, because the mean of its divisors is an integer number (749217300).

Almost surely, 2^36625144050 is an apocalyptic number.

36625144050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36625144050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53943645600).

36625144050 is an abundant number, since it is smaller than the sum of its proper divisors (71262147150).

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

36625144050 is a wasteful number, since it uses less digits than its factorization.

36625144050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37409 (or 37401 counting only the distinct ones).

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

The spelling of 36625144050 in words is "thirty-six billion, six hundred twenty-five million, one hundred forty-four thousand, fifty".