386988663967680 has 224 divisors, whose sum is σ = 1270181194057728. Its totient is φ = 99721817395200.

The previous prime is 386988663967667. The next prime is 386988663967687. The reversal of 386988663967680 is 86769366889683.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (93).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386988663967687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10806570 + ... + 29845590.

Almost surely, 2^{386988663967680} is an apocalyptic number.

386988663967680 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 386988663967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635090597028864).

386988663967680 is an abundant number, since it is smaller than the sum of its proper divisors (883192530090048).

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

386988663967680 is a wasteful number, since it uses less digits than its factorization.

386988663967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19039755 (or 19039745 counting only the distinct ones).

The product of its (nonzero) digits is 162533081088, while the sum is 93.

The spelling of 386988663967680 in words is "three hundred eighty-six trillion, nine hundred eighty-eight billion, six hundred sixty-three million, nine hundred sixty-seven thousand, six hundred eighty".