36512156340 has 288 divisors, whose sum is σ = 123251611392. Its totient is φ = 8674560000.

The previous prime is 36512156339. The next prime is 36512156411. The reversal of 36512156340 is 4365121563.

36512156340 is a `hidden beast` number, since 3 + 6 + 5 + 1 + 2 + 15 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36512156295 and 36512156304.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 60752040 + ... + 60752640.

It is an arithmetic number, because the mean of its divisors is an integer number (427956984).

Almost surely, 2^36512156340 is an apocalyptic number.

36512156340 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 36512156340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61625805696).

36512156340 is an abundant number, since it is smaller than the sum of its proper divisors (86739455052).

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

36512156340 is a wasteful number, since it uses less digits than its factorization.

36512156340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 36512156340 in words is "thirty-six billion, five hundred twelve million, one hundred fifty-six thousand, three hundred forty".