7052002560 has 360 divisors, whose sum is σ = 26724347496. Its totient is φ = 1769472000.

The previous prime is 7052002549. The next prime is 7052002597. The reversal of 7052002560 is 652002507.

It can be written as a sum of positive squares in 4 ways, for example, as 219988224 + 6832014336 = 14832^2 + 82656^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1760560 + ... + 1764560.

Almost surely, 2^7052002560 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 7052002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13362173748).

7052002560 is an abundant number, since it is smaller than the sum of its proper divisors (19672344936).

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

7052002560 is a wasteful number, since it uses less digits than its factorization.

7052002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 7052002560 is about 83976.2023432829. The cubic root of 7052002560 is about 1917.6565157897.

The spelling of 7052002560 in words is "seven billion, fifty-two million, two thousand, five hundred sixty".