384724650240 has 720 divisors, whose sum is σ = 1615908172032. Its totient is φ = 85554413568.

The previous prime is 384724650187. The next prime is 384724650283. The reversal of 384724650240 is 42056427483.

It is a happy number.

384724650240 is a `hidden beast` number, since 3 + 84 + 7 + 24 + 6 + 502 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26845957 + ... + 26860283.

Almost surely, 2^384724650240 is an apocalyptic number.

384724650240 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 384724650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807954086016).

384724650240 is an abundant number, since it is smaller than the sum of its proper divisors (1231183521792).

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

384724650240 is a wasteful number, since it uses less digits than its factorization.

384724650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14404 (or 14381 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 384724650240 in words is "three hundred eighty-four billion, seven hundred twenty-four million, six hundred fifty thousand, two hundred forty".