816744950784 has 352 divisors, whose sum is σ = 2770111756800. Its totient is φ = 232869150720.

The previous prime is 816744950779. The next prime is 816744950803. The reversal of 816744950784 is 487059447618.

816744950784 is a `hidden beast` number, since 8 + 1 + 6 + 7 + 4 + 49 + 507 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98505679 + ... + 98513969.

Almost surely, 2^816744950784 is an apocalyptic number.

816744950784 is a gapful number since it is divisible by the number (84) 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 816744950784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385055878400).

816744950784 is an abundant number, since it is smaller than the sum of its proper divisors (1953366806016).

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

816744950784 is a wasteful number, since it uses less digits than its factorization.

816744950784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8836 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 816744950784 in words is "eight hundred sixteen billion, seven hundred forty-four million, nine hundred fifty thousand, seven hundred eighty-four".