8047557408 has 96 divisors (see below), whose sum is σ = 23607484992. Its totient is φ = 2379161600.

The previous prime is 8047557403. The next prime is 8047557481.

8047557408 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

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 (8047557403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49641 + ... + 136232.

It is an arithmetic number, because the mean of its divisors is an integer number (245911302).

Almost surely, 2^8047557408 is an apocalyptic number.

8047557408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8047557408 is an abundant number, since it is smaller than the sum of its proper divisors (15559927584).

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

8047557408 is a wasteful number, since it uses less digits than its factorization.

8047557408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185938 (or 185930 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The square root of 8047557408 is about 89708.1791588705. The cubic root of 8047557408 is about 2003.9552900173.

The spelling of 8047557408 in words is "eight billion, forty-seven million, five hundred fifty-seven thousand, four hundred eight".