386455567680 has 1008 divisors, whose sum is σ = 1753010138880. Its totient is φ = 77239443456.

The previous prime is 386455567657. The next prime is 386455567681. The reversal of 386455567680 is 86765554683.

386455567680 is a `hidden beast` number, since 3 + 8 + 6 + 4 + 5 + 5 + 567 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386455567681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34851097 + ... + 34862183.

It is an arithmetic number, because the mean of its divisors is an integer number (1739097360).

Almost surely, 2^386455567680 is an apocalyptic number.

386455567680 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 386455567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876505069440).

386455567680 is an abundant number, since it is smaller than the sum of its proper divisors (1366554571200).

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

386455567680 is a wasteful number, since it uses less digits than its factorization.

386455567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11156 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 386455567680 in words is "three hundred eighty-six billion, four hundred fifty-five million, five hundred sixty-seven thousand, six hundred eighty".