804115952640 has 2640 divisors, whose sum is σ = 3916228694400. Its totient is φ = 153200885760.

The previous prime is 804115952639. The next prime is 804115952641. The reversal of 804115952640 is 46259511408.

804115952640 is a `hidden beast` number, since 8 + 0 + 4 + 11 + 595 + 2 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (804115952639) and next prime (804115952641).

It is a tau number, because it is divible by the number of its divisors (2640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804115952641) 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 239 ways as a sum of consecutive naturals, for example, 5396751286 + ... + 5396751434.

It is an arithmetic number, because the mean of its divisors is an integer number (1483419960).

Almost surely, 2^804115952640 is an apocalyptic number.

804115952640 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 804115952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958114347200).

804115952640 is an abundant number, since it is smaller than the sum of its proper divisors (3112112741760).

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

804115952640 is a wasteful number, since it uses less digits than its factorization.

804115952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 804115952640 in words is "eight hundred four billion, one hundred fifteen million, nine hundred fifty-two thousand, six hundred forty".