7005749520 has 480 divisors, whose sum is σ = 28465606656. Its totient is φ = 1407974400.

The previous prime is 7005749477. The next prime is 7005749537. The reversal of 7005749520 is 259475007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4009287 + ... + 4011033.

Almost surely, 2^7005749520 is an apocalyptic number.

7005749520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7005749520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14232803328).

7005749520 is an abundant number, since it is smaller than the sum of its proper divisors (21459857136).

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

7005749520 is a wasteful number, since it uses less digits than its factorization.

7005749520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 7005749520 is about 83700.3555548004. The cubic root of 7005749520 is about 1913.4547744982.

The spelling of 7005749520 in words is "seven billion, five million, seven hundred forty-nine thousand, five hundred twenty".