36987289804800 has 1344 divisors, whose sum is σ = 141456850944000. Its totient is φ = 9464374886400.

The previous prime is 36987289804741. The next prime is 36987289804819. The reversal of 36987289804800 is 840898278963.

36987289804800 is a `hidden beast` number, since 3 + 69 + 8 + 7 + 2 + 8 + 9 + 80 + 480 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21770034351 + ... + 21770036049.

Almost surely, 2^{36987289804800} is an apocalyptic number.

36987289804800 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 36987289804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70728425472000).

36987289804800 is an abundant number, since it is smaller than the sum of its proper divisors (104469561139200).

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

36987289804800 is a wasteful number, since it uses less digits than its factorization.

36987289804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 36987289804800 in words is "thirty-six trillion, nine hundred eighty-seven billion, two hundred eighty-nine million, eight hundred four thousand, eight hundred".