36400637952 has 528 divisors, whose sum is σ = 127672665120. Its totient is φ = 10158317568.

The previous prime is 36400637947. The next prime is 36400637953. The reversal of 36400637952 is 25973600463.

36400637952 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 0 + 637 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36400637898 and 36400637907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36400637953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 846526443 + ... + 846526485.

It is an arithmetic number, because the mean of its divisors is an integer number (241804290).

Almost surely, 2^36400637952 is an apocalyptic number.

36400637952 is a gapful number since it is divisible by the number (32) 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 36400637952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63836332560).

36400637952 is an abundant number, since it is smaller than the sum of its proper divisors (91272027168).

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

36400637952 is an frugal number, since it uses more digits than its factorization.

36400637952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 36400637952 in words is "thirty-six billion, four hundred million, six hundred thirty-seven thousand, nine hundred fifty-two".