381505783680 has 1024 divisors, whose sum is σ = 1588654080000. Its totient is φ = 86487367680.

The previous prime is 381505783669. The next prime is 381505783759. The reversal of 381505783680 is 86387505183.

381505783680 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 0 + 578 + 3 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1132064472 + ... + 1132064808.

It is an arithmetic number, because the mean of its divisors is an integer number (1551420000).

Almost surely, 2^381505783680 is an apocalyptic number.

381505783680 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 381505783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794327040000).

381505783680 is an abundant number, since it is smaller than the sum of its proper divisors (1207148296320).

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

381505783680 is a wasteful number, since it uses less digits than its factorization.

381505783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 381505783680 in words is "three hundred eighty-one billion, five hundred five million, seven hundred eighty-three thousand, six hundred eighty".