36687754145952 has 1296 divisors, whose sum is σ = 143008193915496. Its totient is φ = 8812235980800.

The previous prime is 36687754145869. The next prime is 36687754145957. The reversal of 36687754145952 is 25954145778663.

36687754145952 is a `hidden beast` number, since 3 + 6 + 6 + 8 + 77 + 54 + 1 + 459 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26075770325136 + 10611983820816 = 5106444^2 + 3257604^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (36687754145957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2997114552 + ... + 2997126792.

Almost surely, 2^{36687754145952} is an apocalyptic number.

36687754145952 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 36687754145952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71504096957748).

36687754145952 is an abundant number, since it is smaller than the sum of its proper divisors (106320439769544).

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

36687754145952 is a wasteful number, since it uses less digits than its factorization.

36687754145952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12363 (or 12314 counting only the distinct ones).

The product of its digits is 1524096000, while the sum is 72.

The spelling of 36687754145952 in words is "thirty-six trillion, six hundred eighty-seven billion, seven hundred fifty-four million, one hundred forty-five thousand, nine hundred fifty-two".