382654136067840 has 6048 divisors, whose sum is σ = 1858357331582976. Its totient is φ = 73389275873280.

The previous prime is 382654136067839. The next prime is 382654136067901. The reversal of 382654136067840 is 48760631456283.

It is a happy number.

382654136067840 is a `hidden beast` number, since 3 + 8 + 2 + 6 + 5 + 4 + 13 + 606 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 760743809029 + ... + 760743809531.

It is an arithmetic number, because the mean of its divisors is an integer number (307268077312).

Almost surely, 2^{382654136067840} is an apocalyptic number.

382654136067840 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 382654136067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929178665791488).

382654136067840 is an abundant number, since it is smaller than the sum of its proper divisors (1475703195515136).

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

382654136067840 is a wasteful number, since it uses less digits than its factorization.

382654136067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 382654136067840 in words is "three hundred eighty-two trillion, six hundred fifty-four billion, one hundred thirty-six million, sixty-seven thousand, eight hundred forty".