397733068800 has 918 divisors, whose sum is σ = 1519466519558. Its totient is φ = 103195607040.

The previous prime is 397733068787. The next prime is 397733068813. The reversal of 397733068800 is 8860337793.

It is an interprime number because it is at equal distance from previous prime (397733068787) and next prime (397733068813).

It can be written as a sum of positive squares in 3 ways, for example, as 84276412416 + 313456656384 = 290304^2 + 559872^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10749542382 + ... + 10749542418.

Almost surely, 2^397733068800 is an apocalyptic number.

397733068800 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 397733068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759733259779).

397733068800 is an abundant number, since it is smaller than the sum of its proper divisors (1121733450758).

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

397733068800 is an frugal number, since it uses more digits than its factorization.

397733068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 397733068800 in words is "three hundred ninety-seven billion, seven hundred thirty-three million, sixty-eight thousand, eight hundred".