36073743552 has 672 divisors, whose sum is σ = 136209024000. Its totient is φ = 9351175680.

The previous prime is 36073743547. The next prime is 36073743569. The reversal of 36073743552 is 25534737063.

36073743552 is a `hidden beast` number, since 3 + 60 + 7 + 37 + 4 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 36073743498 and 36073743507.

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, 71716933 + ... + 71717435.

It is an arithmetic number, because the mean of its divisors is an integer number (202692000).

Almost surely, 2^36073743552 is an apocalyptic number.

36073743552 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 36073743552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68104512000).

36073743552 is an abundant number, since it is smaller than the sum of its proper divisors (100135280448).

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

36073743552 is a wasteful number, since it uses less digits than its factorization.

36073743552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 45.

The spelling of 36073743552 in words is "thirty-six billion, seventy-three million, seven hundred forty-three thousand, five hundred fifty-two".