7075842816 has 288 divisors, whose sum is σ = 22993528320. Its totient is φ = 1885667328.

The previous prime is 7075842811. The next prime is 7075842821. The reversal of 7075842816 is 6182485707.

It is an interprime number because it is at equal distance from previous prime (7075842811) and next prime (7075842821).

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 (7075842811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12703210 + ... + 12703766.

It is an arithmetic number, because the mean of its divisors is an integer number (79838640).

Almost surely, 2^7075842816 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 7075842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11496764160).

7075842816 is an abundant number, since it is smaller than the sum of its proper divisors (15917685504).

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

7075842816 is a wasteful number, since it uses less digits than its factorization.

7075842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The square root of 7075842816 is about 84118.0290781946. The cubic root of 7075842816 is about 1919.8150516294.

The spelling of 7075842816 in words is "seven billion, seventy-five million, eight hundred forty-two thousand, eight hundred sixteen".