804951060480 has 1664 divisors, whose sum is σ = 3464910950400. Its totient is φ = 173408256000.

The previous prime is 804951060427. The next prime is 804951060481. The reversal of 804951060480 is 84060159408.

804951060480 is a `hidden beast` number, since 80 + 4 + 95 + 1 + 0 + 6 + 0 + 480 = 666.

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 (804951060481) 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 127 ways as a sum of consecutive naturals, for example, 7969812430 + ... + 7969812530.

Almost surely, 2^804951060480 is an apocalyptic number.

804951060480 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 804951060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732455475200).

804951060480 is an abundant number, since it is smaller than the sum of its proper divisors (2659959889920).

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

804951060480 is a wasteful number, since it uses less digits than its factorization.

804951060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 804951060480 in words is "eight hundred four billion, nine hundred fifty-one million, sixty thousand, four hundred eighty".