369884010006000 has 1920 divisors, whose sum is σ = 1605362670213120. Its totient is φ = 79735663872000.

The previous prime is 369884010005977. The next prime is 369884010006191. The reversal of 369884010006000 is 600010488963.

369884010006000 is a `hidden beast` number, since 36 + 9 + 8 + 8 + 4 + 0 + 1 + 0 + 0 + 0 + 600 + 0 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 30975960030 + ... + 30975971970.

It is an arithmetic number, because the mean of its divisors is an integer number (836126390736).

Almost surely, 2^{369884010006000} is an apocalyptic number.

369884010006000 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 369884010006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802681335106560).

369884010006000 is an abundant number, since it is smaller than the sum of its proper divisors (1235478660207120).

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

369884010006000 is a wasteful number, since it uses less digits than its factorization.

369884010006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12245 (or 12204 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 369884010006000 in words is "three hundred sixty-nine trillion, eight hundred eighty-four billion, ten million, six thousand".