8484804480000 has 880 divisors, whose sum is σ = 29393699005440. Its totient is φ = 2173427712000.

The previous prime is 8484804479993. The next prime is 8484804480001. The reversal of 8484804480000 is 844084848.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8484804480001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5896319281 + ... + 5896320719.

It is an arithmetic number, because the mean of its divisors is an integer number (33401930688).

Almost surely, 2^{8484804480000} is an apocalyptic number.

8484804480000 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 8484804480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696849502720).

8484804480000 is an abundant number, since it is smaller than the sum of its proper divisors (20908894525440).

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

8484804480000 is a wasteful number, since it uses less digits than its factorization.

8484804480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

It can be divided in two parts, 848480 and 4480000, that added together give a triangular number (5328480 = T₃₂₆₄).

The spelling of 8484804480000 in words is "eight trillion, four hundred eighty-four billion, eight hundred four million, four hundred eighty thousand".