397746505728 has 1056 divisors, whose sum is σ = 1462432345920. Its totient is φ = 106420469760.

The previous prime is 397746505697. The next prime is 397746505771. The reversal of 397746505728 is 827505647793.

397746505728 is a `hidden beast` number, since 3 + 9 + 7 + 7 + 4 + 6 + 50 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 17293326325 + ... + 17293326347.

Almost surely, 2^397746505728 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 397746505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731216172960).

397746505728 is an abundant number, since it is smaller than the sum of its proper divisors (1064685840192).

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

397746505728 is an equidigital number, since it uses as much as digits as its factorization.

397746505728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 397746505728 in words is "three hundred ninety-seven billion, seven hundred forty-six million, five hundred five thousand, seven hundred twenty-eight".