381160615680 has 576 divisors, whose sum is σ = 1475212032000. Its totient is φ = 92627877888.

The previous prime is 381160615639. The next prime is 381160615739. The reversal of 381160615680 is 86516061183.

381160615680 is a `hidden beast` number, since 3 + 81 + 1 + 6 + 0 + 6 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 35487751 + ... + 35498489.

It is an arithmetic number, because the mean of its divisors is an integer number (2561132000).

Almost surely, 2^381160615680 is an apocalyptic number.

381160615680 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 381160615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737606016000).

381160615680 is an abundant number, since it is smaller than the sum of its proper divisors (1094051416320).

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

381160615680 is a wasteful number, since it uses less digits than its factorization.

381160615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10861 (or 10841 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 381 and 160615680, that added together give a palindrome (160616061).

The spelling of 381160615680 in words is "three hundred eighty-one billion, one hundred sixty million, six hundred fifteen thousand, six hundred eighty".