396576477826560 has 640 divisors, whose sum is σ = 1443438370281600. Its totient is φ = 103145212477440.

The previous prime is 396576477826549. The next prime is 396576477826589. The reversal of 396576477826560 is 65628774675693.

396576477826560 is a `hidden beast` number, since 3 + 9 + 6 + 5 + 7 + 6 + 47 + 7 + 8 + 2 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 396576477826560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11134453872 + ... + 11134489488.

It is an arithmetic number, because the mean of its divisors is an integer number (2255372453565).

Almost surely, 2^{396576477826560} is an apocalyptic number.

396576477826560 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 396576477826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721719185140800).

396576477826560 is an abundant number, since it is smaller than the sum of its proper divisors (1046861892455040).

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

396576477826560 is a wasteful number, since it uses less digits than its factorization.

396576477826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39619 (or 39597 counting only the distinct ones).

The product of its (nonzero) digits is 19203609600, while the sum is 81.

The spelling of 396576477826560 in words is "three hundred ninety-six trillion, five hundred seventy-six billion, four hundred seventy-seven million, eight hundred twenty-six thousand, five hundred sixty".