7029480964 has 81 divisors (see below), whose sum is σ = 14033140821. Its totient is φ = 3078678240.

The previous prime is 7029480949. The next prime is 7029481021. The reversal of 7029480964 is 4690849207.

The square root of 7029480964 is 83842.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6290076100 + 739404864 = 79310^2 + 27192^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68247337 + ... + 68247439.

Almost surely, 2^7029480964 is an apocalyptic number.

7029480964 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

7029480964 is the 83842-nd square number.

It is an amenable number.

7029480964 is a deficient number, since it is larger than the sum of its proper divisors (7003659857).

7029480964 is a wasteful number, since it uses less digits than its factorization.

7029480964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The cubic root of 7029480964 is about 1915.6129003700.

Multiplying 7029480964 by its sum of digits (49), we get a square (344444567236 = 586894²).

The spelling of 7029480964 in words is "seven billion, twenty-nine million, four hundred eighty thousand, nine hundred sixty-four".