816477667200 has 2016 divisors, whose sum is σ = 3478530429000. Its totient is φ = 188654469120.

The previous prime is 816477667157. The next prime is 816477667273. The reversal of 816477667200 is 2766774618.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 7490620746 + ... + 7490620854.

Almost surely, 2^816477667200 is an apocalyptic number.

816477667200 is a gapful number since it is divisible by the number (80) 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 816477667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739265214500).

816477667200 is an abundant number, since it is smaller than the sum of its proper divisors (2662052761800).

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

816477667200 is a wasteful number, since it uses less digits than its factorization.

816477667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 816477667200 in words is "eight hundred sixteen billion, four hundred seventy-seven million, six hundred sixty-seven thousand, two hundred".