816292772391360 has 448 divisors, whose sum is σ = 2841566956001280. Its totient is φ = 196895934074880.

The previous prime is 816292772391353. The next prime is 816292772391407. The reversal of 816292772391360 is 63193277292618.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 816292772391291 and 816292772391300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1710998931 + ... + 1711475949.

Almost surely, 2^{816292772391360} is an apocalyptic number.

816292772391360 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 816292772391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420783478000640).

816292772391360 is an abundant number, since it is smaller than the sum of its proper divisors (2025274183609920).

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

816292772391360 is a wasteful number, since it uses less digits than its factorization.

816292772391360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477864 (or 477854 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 816292772391360 in words is "eight hundred sixteen trillion, two hundred ninety-two billion, seven hundred seventy-two million, three hundred ninety-one thousand, three hundred sixty".