7034834464 has 192 divisors, whose sum is σ = 18059231232. Its totient is φ = 2625638400.

The previous prime is 7034834461. The next prime is 7034834467. The reversal of 7034834464 is 4644384307.

It is an interprime number because it is at equal distance from previous prime (7034834461) and next prime (7034834467).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7034834464.

It is not an unprimeable number, because it can be changed into a prime (7034834461) 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, 2713809 + ... + 2716399.

It is an arithmetic number, because the mean of its divisors is an integer number (94058496).

Almost surely, 2^7034834464 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 7034834464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9029615616).

7034834464 is an abundant number, since it is smaller than the sum of its proper divisors (11024396768).

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

7034834464 is a wasteful number, since it uses less digits than its factorization.

7034834464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 43.

The square root of 7034834464 is about 83873.9200466987. The cubic root of 7034834464 is about 1916.0990733619.

The spelling of 7034834464 in words is "seven billion, thirty-four million, eight hundred thirty-four thousand, four hundred sixty-four".