36727575413760 has 3520 divisors, whose sum is σ = 169119447146496. Its totient is φ = 7402055270400.

The previous prime is 36727575413743. The next prime is 36727575413791. The reversal of 36727575413760 is 6731457572763.

36727575413760 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 7 + 57 + 541 + 37 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 219925601197 + ... + 219925601363.

Almost surely, 2^{36727575413760} is an apocalyptic number.

36727575413760 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 36727575413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84559723573248).

36727575413760 is an abundant number, since it is smaller than the sum of its proper divisors (132391871732736).

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

36727575413760 is a wasteful number, since it uses less digits than its factorization.

36727575413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 155584800, while the sum is 63.

The spelling of 36727575413760 in words is "thirty-six trillion, seven hundred twenty-seven billion, five hundred seventy-five million, four hundred thirteen thousand, seven hundred sixty".