804932976640 has 256 divisors, whose sum is σ = 2088882512640. Its totient is φ = 295997276160.

The previous prime is 804932976629. The next prime is 804932976641. The reversal of 804932976640 is 46679239408.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is not an unprimeable number, because it can be changed into a prime (804932976641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 653884825 + ... + 653886055.

It is an arithmetic number, because the mean of its divisors is an integer number (8159697315).

Almost surely, 2^804932976640 is an apocalyptic number.

804932976640 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 804932976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044441256320).

804932976640 is an abundant number, since it is smaller than the sum of its proper divisors (1283949536000).

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

804932976640 is a wasteful number, since it uses less digits than its factorization.

804932976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 58.

The spelling of 804932976640 in words is "eight hundred four billion, nine hundred thirty-two million, nine hundred seventy-six thousand, six hundred forty".