36975486707712 has 768 divisors, whose sum is σ = 128792695449600. Its totient is φ = 10263663083520.

The previous prime is 36975486707657. The next prime is 36975486707717. The reversal of 36975486707712 is 21770768457963.

36975486707712 is a `hidden beast` number, since 3 + 6 + 9 + 7 + 5 + 486 + 70 + 7 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is not an unprimeable number, because it can be changed into a prime (36975486707717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1893159387 + ... + 1893178917.

It is an arithmetic number, because the mean of its divisors is an integer number (167698822200).

It is a 1-persistent number, because it is pandigital, but 2⋅36975486707712 = 73950973415424 is not.

Almost surely, 2^{36975486707712} is an apocalyptic number.

36975486707712 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 36975486707712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64396347724800).

36975486707712 is an abundant number, since it is smaller than the sum of its proper divisors (91817208741888).

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

36975486707712 is a wasteful number, since it uses less digits than its factorization.

36975486707712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19709 (or 19683 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 72.

The spelling of 36975486707712 in words is "thirty-six trillion, nine hundred seventy-five billion, four hundred eighty-six million, seven hundred seven thousand, seven hundred twelve".