8402819776480 has 96 divisors (see below), whose sum is σ = 20058038066304. Its totient is φ = 3326277083136.

The previous prime is 8402819776447. The next prime is 8402819776591. The reversal of 8402819776480 is 846779182048.

It is a super-2 number, since 2×8402819776480² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11450377 + ... + 12162103.

It is an arithmetic number, because the mean of its divisors is an integer number (208937896524).

Almost surely, 2^{8402819776480} is an apocalyptic number.

8402819776480 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 8402819776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10029019033152).

8402819776480 is an abundant number, since it is smaller than the sum of its proper divisors (11655218289824).

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

8402819776480 is a wasteful number, since it uses less digits than its factorization.

8402819776480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712508 (or 712500 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 64.

The spelling of 8402819776480 in words is "eight trillion, four hundred two billion, eight hundred nineteen million, seven hundred seventy-six thousand, four hundred eighty".