36752147712 has 576 divisors, whose sum is σ = 129978777600. Its totient is φ = 10022952960.

The previous prime is 36752147701. The next prime is 36752147713. The reversal of 36752147712 is 21774125763.

36752147712 is a `hidden beast` number, since 367 + 5 + 214 + 7 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×36752147712² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36752147713) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160489614 + ... + 160489842.

It is an arithmetic number, because the mean of its divisors is an integer number (225657600).

Almost surely, 2^36752147712 is an apocalyptic number.

36752147712 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 36752147712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64989388800).

36752147712 is an abundant number, since it is smaller than the sum of its proper divisors (93226629888).

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

36752147712 is a wasteful number, since it uses less digits than its factorization.

36752147712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 379 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 36752147712 in words is "thirty-six billion, seven hundred fifty-two million, one hundred forty-seven thousand, seven hundred twelve".