36741948364800 has 2592 divisors, whose sum is σ = 161513524972800. Its totient is φ = 8108738150400.

The previous prime is 36741948364799. The next prime is 36741948364837. The reversal of 36741948364800 is 846384914763.

It is a happy number.

36741948364800 is a `hidden beast` number, since 3 + 6 + 7 + 4 + 19 + 483 + 64 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 83694642981 + ... + 83694643419.

Almost surely, 2^{36741948364800} is an apocalyptic number.

36741948364800 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 36741948364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80756762486400).

36741948364800 is an abundant number, since it is smaller than the sum of its proper divisors (124771576608000).

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

36741948364800 is an equidigital number, since it uses as much as digits as its factorization.

36741948364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 36741948364800 in words is "thirty-six trillion, seven hundred forty-one billion, nine hundred forty-eight million, three hundred sixty-four thousand, eight hundred".