36513783936 has 480 divisors, whose sum is σ = 129562489980. Its totient is φ = 10172252160.

The previous prime is 36513783877. The next prime is 36513783947. The reversal of 36513783936 is 63938731563.

36513783936 is a `hidden beast` number, since 36 + 513 + 7 + 8 + 3 + 93 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25204737600 + 11309046336 = 158760^2 + 106344^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20828436 + ... + 20830188.

Almost surely, 2^36513783936 is an apocalyptic number.

36513783936 is a gapful number since it is divisible by the number (36) 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 36513783936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64781244990).

36513783936 is an abundant number, since it is smaller than the sum of its proper divisors (93048706044).

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

36513783936 is a wasteful number, since it uses less digits than its factorization.

36513783936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1806 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 36513783936 in words is "thirty-six billion, five hundred thirteen million, seven hundred eighty-three thousand, nine hundred thirty-six".