816478017550272 has 2240 divisors, whose sum is σ = 3226931446210560. Its totient is φ = 197720364441600.

The previous prime is 816478017550267. The next prime is 816478017550289. The reversal of 816478017550272 is 272055710874618.

816478017550272 is a `hidden beast` number, since 8 + 1 + 6 + 4 + 7 + 8 + 0 + 1 + 7 + 550 + 2 + 72 = 666.

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 319 ways as a sum of consecutive naturals, for example, 407627566423 + ... + 407627568425.

Almost surely, 2^{816478017550272} 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 816478017550272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613465723105280).

816478017550272 is an abundant number, since it is smaller than the sum of its proper divisors (2410453428660288).

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

816478017550272 is a wasteful number, since it uses less digits than its factorization.

816478017550272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 63.

The spelling of 816478017550272 in words is "eight hundred sixteen trillion, four hundred seventy-eight billion, seventeen million, five hundred fifty thousand, two hundred seventy-two".