366749349120 has 1728 divisors, whose sum is σ = 1673653363200. Its totient is φ = 71923138560.

The previous prime is 366749349119. The next prime is 366749349121. The reversal of 366749349120 is 21943947663.

It is a happy number.

366749349120 is a `hidden beast` number, since 3 + 6 + 67 + 4 + 93 + 491 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (366749349119) and next prime (366749349121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (366749349121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1363380346 + ... + 1363380614.

It is an arithmetic number, because the mean of its divisors is an integer number (968549400).

Almost surely, 2^366749349120 is an apocalyptic number.

366749349120 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 366749349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836826681600).

366749349120 is an abundant number, since it is smaller than the sum of its proper divisors (1306904014080).

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

366749349120 is a wasteful number, since it uses less digits than its factorization.

366749349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 366749349120 in words is "three hundred sixty-six billion, seven hundred forty-nine million, three hundred forty-nine thousand, one hundred twenty".