381624324480 has 1536 divisors, whose sum is σ = 1652987520000. Its totient is φ = 83154677760.

The previous prime is 381624324479. The next prime is 381624324493. The reversal of 381624324480 is 84423426183.

It is a happy number.

381624324480 is a `hidden beast` number, since 3 + 8 + 162 + 4 + 3 + 2 + 4 + 480 = 666.

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 191 ways as a sum of consecutive naturals, for example, 5695885407 + ... + 5695885473.

It is an arithmetic number, because the mean of its divisors is an integer number (1076163750).

Almost surely, 2^381624324480 is an apocalyptic number.

381624324480 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 381624324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826493760000).

381624324480 is an abundant number, since it is smaller than the sum of its proper divisors (1271363195520).

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

381624324480 is an equidigital number, since it uses as much as digits as its factorization.

381624324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 381624324480 in words is "three hundred eighty-one billion, six hundred twenty-four million, three hundred twenty-four thousand, four hundred eighty".