366991867440 has 720 divisors, whose sum is σ = 1399890963744. Its totient is φ = 86031728640.

The previous prime is 366991867423. The next prime is 366991867441. The reversal of 366991867440 is 44768199663.

366991867440 is a `hidden beast` number, since 3 + 6 + 6 + 9 + 9 + 186 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (366991867441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 828423859 + ... + 828424301.

Almost surely, 2^366991867440 is an apocalyptic number.

366991867440 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 366991867440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699945481872).

366991867440 is an abundant number, since it is smaller than the sum of its proper divisors (1032899096304).

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

366991867440 is a wasteful number, since it uses less digits than its factorization.

366991867440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 366991867440 in words is "three hundred sixty-six billion, nine hundred ninety-one million, eight hundred sixty-seven thousand, four hundred forty".