816033774240 has 576 divisors, whose sum is σ = 3100971444480. Its totient is φ = 201912238080.

The previous prime is 816033774229. The next prime is 816033774251. The reversal of 816033774240 is 42477330618.

816033774240 is a `hidden beast` number, since 8 + 1 + 6 + 0 + 337 + 74 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (816033774229) and next prime (816033774251).

It is a super-2 number, since 2×816033774240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46919466 + ... + 46936854.

It is an arithmetic number, because the mean of its divisors is an integer number (5383630980).

Almost surely, 2^816033774240 is an apocalyptic number.

816033774240 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 816033774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550485722240).

816033774240 is an abundant number, since it is smaller than the sum of its proper divisors (2284937670240).

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

816033774240 is a wasteful number, since it uses less digits than its factorization.

816033774240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17507 (or 17487 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 816033774240 in words is "eight hundred sixteen billion, thirty-three million, seven hundred seventy-four thousand, two hundred forty".