366948720000 has 480 divisors, whose sum is σ = 1330215194880. Its totient is φ = 97058304000.

The previous prime is 366948719993. The next prime is 366948720023. The reversal of 366948720000 is 27849663.

366948720000 is a `hidden beast` number, since 366 + 9 + 4 + 87 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 91437994 + ... + 91442006.

It is an arithmetic number, because the mean of its divisors is an integer number (2771281656).

Almost surely, 2^366948720000 is an apocalyptic number.

366948720000 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 366948720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665107597440).

366948720000 is an abundant number, since it is smaller than the sum of its proper divisors (963266474880).

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

366948720000 is a wasteful number, since it uses less digits than its factorization.

366948720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 366948720000 in words is "three hundred sixty-six billion, nine hundred forty-eight million, seven hundred twenty thousand".