36625787520 has 256 divisors, whose sum is σ = 133760090880. Its totient is φ = 8350433280.

The previous prime is 36625787509. The next prime is 36625787521. The reversal of 36625787520 is 2578752663.

It is a happy number.

It is a super-2 number, since 2×36625787520² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36625787521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5655004 + ... + 5661476.

It is an arithmetic number, because the mean of its divisors is an integer number (522500355).

Almost surely, 2^36625787520 is an apocalyptic number.

36625787520 is a gapful number since it is divisible by the number (30) 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 36625787520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66880045440).

36625787520 is an abundant number, since it is smaller than the sum of its proper divisors (97134303360).

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

36625787520 is a wasteful number, since it uses less digits than its factorization.

36625787520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 36625787520 in words is "thirty-six billion, six hundred twenty-five million, seven hundred eighty-seven thousand, five hundred twenty".