395166649680 has 1920 divisors, whose sum is σ = 1732689100800. Its totient is φ = 82114560000.

The previous prime is 395166649667. The next prime is 395166649687. The reversal of 395166649680 is 86946661593.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395166649687) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2616997605 + ... + 2616997755.

It is an arithmetic number, because the mean of its divisors is an integer number (902442240).

Almost surely, 2^395166649680 is an apocalyptic number.

395166649680 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 395166649680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866344550400).

395166649680 is an abundant number, since it is smaller than the sum of its proper divisors (1337522451120).

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

395166649680 is a wasteful number, since it uses less digits than its factorization.

395166649680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 395166649680 in words is "three hundred ninety-five billion, one hundred sixty-six million, six hundred forty-nine thousand, six hundred eighty".