396870367891648 has 224 divisors, whose sum is σ = 953872435152000. Its totient is φ = 160203062476800.

The previous prime is 396870367891643. The next prime is 396870367891667. The reversal of 396870367891648 is 846198763078693.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (396870367891643) 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, 8175958258 + ... + 8176006798.

It is an arithmetic number, because the mean of its divisors is an integer number (4258359085500).

Almost surely, 2^{396870367891648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396870367891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476936217576000).

396870367891648 is an abundant number, since it is smaller than the sum of its proper divisors (557002067260352).

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

396870367891648 is a wasteful number, since it uses less digits than its factorization.

396870367891648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63979 (or 63969 counting only the distinct ones).

The product of its (nonzero) digits is 15801827328, while the sum is 85.

The spelling of 396870367891648 in words is "three hundred ninety-six trillion, eight hundred seventy billion, three hundred sixty-seven million, eight hundred ninety-one thousand, six hundred forty-eight".