36709985894400 has 3780 divisors, whose sum is σ = 171879134533932. Its totient is φ = 7705271992320.

The previous prime is 36709985894381. The next prime is 36709985894401. The reversal of 36709985894400 is 449858990763.

36709985894400 is a `hidden beast` number, since 3 + 67 + 0 + 9 + 9 + 85 + 89 + 4 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7605946220544 + 29104039673856 = 2757888^2 + 5394816^2 .

It is a tau number, because it is divible by the number of its divisors (3780).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36709985894401) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 190207180704 + ... + 190207180896.

Almost surely, 2^{36709985894400} is an apocalyptic number.

36709985894400 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 36709985894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85939567266966).

36709985894400 is an abundant number, since it is smaller than the sum of its proper divisors (135169148639532).

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

36709985894400 is an equidigital number, since it uses as much as digits as its factorization.

36709985894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 36709985894400 in words is "thirty-six trillion, seven hundred nine billion, nine hundred eighty-five million, eight hundred ninety-four thousand, four hundred".