816982675740 has 288 divisors, whose sum is σ = 3192911124480. Its totient is φ = 169762538880.

The previous prime is 816982675739. The next prime is 816982675757. The reversal of 816982675740 is 47576289618.

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

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 95 ways as a sum of consecutive naturals, for example, 435732 + ... + 1350491.

It is an arithmetic number, because the mean of its divisors is an integer number (11086496960).

Almost surely, 2^816982675740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816982675740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596455562240).

816982675740 is an abundant number, since it is smaller than the sum of its proper divisors (2375928448740).

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

816982675740 is a wasteful number, since it uses less digits than its factorization.

816982675740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786270 (or 1786251 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 816982675740 in words is "eight hundred sixteen billion, nine hundred eighty-two million, six hundred seventy-five thousand, seven hundred forty".