386468359680 has 1280 divisors, whose sum is σ = 1473025720320. Its totient is φ = 85642444800.

The previous prime is 386468359663. The next prime is 386468359681. The reversal of 386468359680 is 86953864683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386468359681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4342341076 + ... + 4342341164.

It is an arithmetic number, because the mean of its divisors is an integer number (1150801344).

Almost surely, 2^386468359680 is an apocalyptic number.

386468359680 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 386468359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736512860160).

386468359680 is an abundant number, since it is smaller than the sum of its proper divisors (1086557360640).

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

386468359680 is a wasteful number, since it uses less digits than its factorization.

386468359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 66.

The spelling of 386468359680 in words is "three hundred eighty-six billion, four hundred sixty-eight million, three hundred fifty-nine thousand, six hundred eighty".