8070806435328 has 1280 divisors, whose sum is σ = 30490048512000. Its totient is φ = 2050534932480.

The previous prime is 8070806435243. The next prime is 8070806435347. The reversal of 8070806435328 is 8235346080708.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 13610128600 + ... + 13610129192.

It is an arithmetic number, because the mean of its divisors is an integer number (23820350400).

Almost surely, 2^{8070806435328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8070806435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15245024256000).

8070806435328 is an abundant number, since it is smaller than the sum of its proper divisors (22419242076672).

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

8070806435328 is a wasteful number, since it uses less digits than its factorization.

8070806435328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 8070806435328 in words is "eight trillion, seventy billion, eight hundred six million, four hundred thirty-five thousand, three hundred twenty-eight".