396707801333760 has 3192 divisors, whose sum is σ = 1712879414054280. Its totient is φ = 87840100712448.

The previous prime is 396707801333747. The next prime is 396707801333777. The reversal of 396707801333760 is 67333108707693.

396707801333760 is a `hidden beast` number, since 3 + 9 + 67 + 0 + 78 + 0 + 133 + 376 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 207891181338624 + 188816619995136 = 14418432^2 + 13741056^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1732348477326 + ... + 1732348477554.

Almost surely, 2^{396707801333760} is an apocalyptic number.

396707801333760 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 396707801333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856439707027140).

396707801333760 is an abundant number, since it is smaller than the sum of its proper divisors (1316171612720520).

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

396707801333760 is an frugal number, since it uses more digits than its factorization.

396707801333760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 72013536, while the sum is 63.

The spelling of 396707801333760 in words is "three hundred ninety-six trillion, seven hundred seven billion, eight hundred one million, three hundred thirty-three thousand, seven hundred sixty".