816697728000 has 3168 divisors, whose sum is σ = 3957632200704. Its totient is φ = 164229120000.

The previous prime is 816697727999. The next prime is 816697728013. The reversal of 816697728000 is 827796618.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26345087985 + ... + 26345088015.

Almost surely, 2^816697728000 is an apocalyptic number.

816697728000 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 816697728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978816100352).

816697728000 is an abundant number, since it is smaller than the sum of its proper divisors (3140934472704).

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

816697728000 is a wasteful number, since it uses less digits than its factorization.

816697728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 816697728000 in words is "eight hundred sixteen billion, six hundred ninety-seven million, seven hundred twenty-eight thousand".