36753575040000 has 5280 divisors, whose sum is σ = 175975434835200. Its totient is φ = 7608287232000.

The previous prime is 36753575039983. The next prime is 36753575040011. The reversal of 36753575040000 is 4057535763.

36753575040000 is a `hidden beast` number, since 3 + 6 + 7 + 535 + 75 + 0 + 40 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×36753575040000² (a number of 28 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 693463679974 + ... + 693463680026.

It is an arithmetic number, because the mean of its divisors is an integer number (33328680840).

Almost surely, 2^{36753575040000} is an apocalyptic number.

36753575040000 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 36753575040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87987717417600).

36753575040000 is an abundant number, since it is smaller than the sum of its proper divisors (139221859795200).

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

36753575040000 is an frugal number, since it uses more digits than its factorization.

36753575040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 36753575040000 in words is "thirty-six trillion, seven hundred fifty-three billion, five hundred seventy-five million, forty thousand".