385827569664 has 128 divisors (see below), whose sum is σ = 1089383586480. Its totient is φ = 121043419136.

The previous prime is 385827569663. The next prime is 385827569671. The reversal of 385827569664 is 466965728583.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385827569663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1555732 + ... + 1786604.

Almost surely, 2^385827569664 is an apocalyptic number.

385827569664 is a gapful number since it is divisible by the number (34) 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 385827569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544691793240).

385827569664 is an abundant number, since it is smaller than the sum of its proper divisors (703556016816).

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

385827569664 is an equidigital number, since it uses as much as digits as its factorization.

385827569664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230923 (or 230895 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 69.

The spelling of 385827569664 in words is "three hundred eighty-five billion, eight hundred twenty-seven million, five hundred sixty-nine thousand, six hundred sixty-four".