366084980352000 has 4224 divisors, whose sum is σ = 1706321163456000. Its totient is φ = 76725721497600.

The previous prime is 366084980351983. The next prime is 366084980352037. The reversal of 366084980352000 is 253089480663.

366084980352000 is a `hidden beast` number, since 3 + 6 + 608 + 4 + 9 + 8 + 0 + 3 + 5 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 394063487536 + ... + 394063488464.

Almost surely, 2^{366084980352000} is an apocalyptic number.

366084980352000 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 366084980352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853160581728000).

366084980352000 is an abundant number, since it is smaller than the sum of its proper divisors (1340236183104000).

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

366084980352000 is a wasteful number, since it uses less digits than its factorization.

366084980352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 366084980352000 in words is "three hundred sixty-six trillion, eighty-four billion, nine hundred eighty million, three hundred fifty-two thousand".