36552072960 has 720 divisors, whose sum is σ = 144096898176. Its totient is φ = 8790736896.

The previous prime is 36552072941. The next prime is 36552073001. The reversal of 36552072960 is 6927025563.

36552072960 is a `hidden beast` number, since 3 + 6 + 552 + 0 + 7 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 63348192 + ... + 63348768.

Almost surely, 2^36552072960 is an apocalyptic number.

36552072960 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 36552072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72048449088).

36552072960 is an abundant number, since it is smaller than the sum of its proper divisors (107544825216).

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

36552072960 is a wasteful number, since it uses less digits than its factorization.

36552072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 36552072960 in words is "thirty-six billion, five hundred fifty-two million, seventy-two thousand, nine hundred sixty".