8049084978528 has 432 divisors, whose sum is σ = 26823886886160. Its totient is φ = 2354989593600.

The previous prime is 8049084978527. The next prime is 8049084978569. The reversal of 8049084978528 is 8258794809408.

8049084978528 is a `hidden beast` number, since 8 + 0 + 4 + 9 + 0 + 8 + 4 + 97 + 8 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8049084978527) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66914598 + ... + 67034778.

It is an arithmetic number, because the mean of its divisors is an integer number (62092330755).

Almost surely, 2^{8049084978528} is an apocalyptic number.

8049084978528 is a gapful number since it is divisible by the number (88) 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 8049084978528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411943443080).

8049084978528 is an abundant number, since it is smaller than the sum of its proper divisors (18774801907632).

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

8049084978528 is a wasteful number, since it uses less digits than its factorization.

8049084978528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120255 (or 120226 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 8049084978528 in words is "eight trillion, forty-nine billion, eighty-four million, nine hundred seventy-eight thousand, five hundred twenty-eight".