396766206720 has 864 divisors, whose sum is σ = 1556505280512. Its totient is φ = 92581429248.

The previous prime is 396766206719. The next prime is 396766206721. The reversal of 396766206720 is 27602667693.

396766206720 is a `hidden beast` number, since 3 + 9 + 6 + 7 + 6 + 620 + 6 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (396766206719) and next prime (396766206721).

It is a super-3 number, since 3×396766206720³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (396766206721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437448507 + ... + 437449413.

Almost surely, 2^396766206720 is an apocalyptic number.

396766206720 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 396766206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778252640256).

396766206720 is an abundant number, since it is smaller than the sum of its proper divisors (1159739073792).

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

396766206720 is a wasteful number, since it uses less digits than its factorization.

396766206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 396766206720 in words is "three hundred ninety-six billion, seven hundred sixty-six million, two hundred six thousand, seven hundred twenty".