7016034816 has 480 divisors, whose sum is σ = 24768057600. Its totient is φ = 1907490816.

The previous prime is 7016034803. The next prime is 7016034847. The reversal of 7016034816 is 6184306107.

7016034816 is a `hidden beast` number, since 7 + 0 + 1 + 603 + 48 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36352416 + ... + 36352608.

It is an arithmetic number, because the mean of its divisors is an integer number (51600120).

Almost surely, 2^7016034816 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 7016034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384028800).

7016034816 is an abundant number, since it is smaller than the sum of its proper divisors (17752022784).

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

7016034816 is a wasteful number, since it uses less digits than its factorization.

7016034816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7016034816 is about 83761.7741932440. The cubic root of 7016034816 is about 1914.3907117323.

It can be divided in two parts, 70160 and 34816, that added together give a 4-th power (104976 = 18⁴).

The spelling of 7016034816 in words is "seven billion, sixteen million, thirty-four thousand, eight hundred sixteen".