36765561749280 has 1728 divisors, whose sum is σ = 150878110610304. Its totient is φ = 7458722611200.

The previous prime is 36765561749243. The next prime is 36765561749281. The reversal of 36765561749280 is 8294716556763.

It is not an unprimeable number, because it can be changed into a prime (36765561749281) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 61999260664 + ... + 61999261256.

It is an arithmetic number, because the mean of its divisors is an integer number (87313721418).

It is a 2-persistent number, because it is pandigital, and so is 2⋅36765561749280 = 73531123498560, but 3⋅36765561749280 = 110296685247840 is not.

Almost surely, 2^{36765561749280} is an apocalyptic number.

36765561749280 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 36765561749280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75439055305152).

36765561749280 is an abundant number, since it is smaller than the sum of its proper divisors (114112548861024).

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

36765561749280 is a wasteful number, since it uses less digits than its factorization.

36765561749280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 69.

The spelling of 36765561749280 in words is "thirty-six trillion, seven hundred sixty-five billion, five hundred sixty-one million, seven hundred forty-nine thousand, two hundred eighty".