397728649543680 has 7168 divisors, whose sum is σ = 1931569119406080. Its totient is φ = 76282192723968.

The previous prime is 397728649543619. The next prime is 397728649543811. The reversal of 397728649543680 is 86345946827793.

397728649543680 is a `hidden beast` number, since 3 + 9 + 7 + 7 + 2 + 8 + 6 + 4 + 9 + 543 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7168).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 397728649543680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 9249503477739 + ... + 9249503477781.

It is an arithmetic number, because the mean of its divisors is an integer number (269471138310).

Almost surely, 2^{397728649543680} is an apocalyptic number.

397728649543680 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 397728649543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965784559703040).

397728649543680 is an abundant number, since it is smaller than the sum of its proper divisors (1533840469862400).

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

397728649543680 is an equidigital number, since it uses as much as digits as its factorization.

397728649543680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 13168189440, while the sum is 81.

The spelling of 397728649543680 in words is "three hundred ninety-seven trillion, seven hundred twenty-eight billion, six hundred forty-nine million, five hundred forty-three thousand, six hundred eighty".