816761655360 has 896 divisors, whose sum is σ = 3452868034560. Its totient is φ = 177703206912.

The previous prime is 816761655341. The next prime is 816761655389. The reversal of 816761655360 is 63556167618.

816761655360 is a `hidden beast` number, since 8 + 1 + 6 + 76 + 16 + 553 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 816761655297 and 816761655306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 310200604 + ... + 310203236.

It is an arithmetic number, because the mean of its divisors is an integer number (3853647360).

Almost surely, 2^816761655360 is an apocalyptic number.

816761655360 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 816761655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726434017280).

816761655360 is an abundant number, since it is smaller than the sum of its proper divisors (2636106379200).

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

816761655360 is a wasteful number, since it uses less digits than its factorization.

816761655360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 816761655360 in words is "eight hundred sixteen billion, seven hundred sixty-one million, six hundred fifty-five thousand, three hundred sixty".