36686277492480 has 1728 divisors, whose sum is σ = 164853708364800. Its totient is φ = 7588699176960.

The previous prime is 36686277492467. The next prime is 36686277492569. The reversal of 36686277492480 is 8429477268663.

It is a happy number.

36686277492480 is a `hidden beast` number, since 3 + 6 + 6 + 8 + 62 + 77 + 492 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 36686277492399 and 36686277492408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5484564976 + ... + 5484571664.

It is an arithmetic number, because the mean of its divisors is an integer number (95401451600).

Almost surely, 2^{36686277492480} is an apocalyptic number.

36686277492480 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 36686277492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82426854182400).

36686277492480 is an abundant number, since it is smaller than the sum of its proper divisors (128167430872320).

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

36686277492480 is a wasteful number, since it uses less digits than its factorization.

36686277492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6972 (or 6946 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 36686277492480 in words is "thirty-six trillion, six hundred eighty-six billion, two hundred seventy-seven million, four hundred ninety-two thousand, four hundred eighty".