149824399680 has 448 divisors, whose sum is σ = 562160928000. Its totient is φ = 37460164608.

The previous prime is 149824399651. The next prime is 149824399717. The reversal of 149824399680 is 86993428941.

149824399680 is a `hidden beast` number, since 1 + 49 + 82 + 439 + 9 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1544581392 + ... + 1544581488.

It is an arithmetic number, because the mean of its divisors is an integer number (1254823500).

Almost surely, 2^149824399680 is an apocalyptic number.

149824399680 is a gapful number since it is divisible by the number (10) 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 149824399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281080464000).

149824399680 is an abundant number, since it is smaller than the sum of its proper divisors (412336528320).

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

149824399680 is an frugal number, since it uses more digits than its factorization.

149824399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 149824399680 in words is "one hundred forty-nine billion, eight hundred twenty-four million, three hundred ninety-nine thousand, six hundred eighty".