8084541370752 has 2048 divisors, whose sum is σ = 32670812160000. Its totient is φ = 1905057792000.

The previous prime is 8084541370739. The next prime is 8084541370753. The reversal of 8084541370752 is 2570731454808.

8084541370752 is a `hidden beast` number, since 8 + 0 + 8 + 454 + 137 + 0 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8084541370753) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12230773302 + ... + 12230773962.

It is an arithmetic number, because the mean of its divisors is an integer number (15952545000).

Almost surely, 2^{8084541370752} is an apocalyptic number.

8084541370752 is a gapful number since it is divisible by the number (82) 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 8084541370752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16335406080000).

8084541370752 is an abundant number, since it is smaller than the sum of its proper divisors (24586270789248).

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

8084541370752 is a wasteful number, since it uses less digits than its factorization.

8084541370752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 8084541370752 in words is "eight trillion, eighty-four billion, five hundred forty-one million, three hundred seventy thousand, seven hundred fifty-two".