816804845562240 has 640 divisors, whose sum is σ = 3082311064166400. Its totient is φ = 205707129458688.

The previous prime is 816804845562221. The next prime is 816804845562269. The reversal of 816804845562240 is 42265548408618.

816804845562240 is a `hidden beast` number, since 8 + 1 + 6 + 8 + 0 + 4 + 8 + 45 + 562 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89857489 + ... + 98529071.

It is an arithmetic number, because the mean of its divisors is an integer number (4816111037760).

Almost surely, 2^{816804845562240} is an apocalyptic number.

816804845562240 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 816804845562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541155532083200).

816804845562240 is an abundant number, since it is smaller than the sum of its proper divisors (2265506218604160).

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

816804845562240 is a wasteful number, since it uses less digits than its factorization.

816804845562240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8671716 (or 8671695 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 816804845562240 in words is "eight hundred sixteen trillion, eight hundred four billion, eight hundred forty-five million, five hundred sixty-two thousand, two hundred forty".