36216661420800 has 1620 divisors, whose sum is σ = 157914225743736. Its totient is φ = 8164277452800.

The previous prime is 36216661420769. The next prime is 36216661420837. The reversal of 36216661420800 is 802416661263.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1854307035 + ... + 1854326565.

Almost surely, 2^{36216661420800} is an apocalyptic number.

36216661420800 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 36216661420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78957112871868).

36216661420800 is an abundant number, since it is smaller than the sum of its proper divisors (121697564322936).

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

36216661420800 is a wasteful number, since it uses less digits than its factorization.

36216661420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19656 (or 19621 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 36216661420800 in words is "thirty-six trillion, two hundred sixteen billion, six hundred sixty-one million, four hundred twenty thousand, eight hundred".