6987202560 has 540 divisors, whose sum is σ = 27086643948. Its totient is φ = 1719926784.

The previous prime is 6987202559. The next prime is 6987202571. The reversal of 6987202560 is 652027896.

6987202560 is a `hidden beast` number, since 6 + 9 + 87 + 2 + 0 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1719926784 + 5267275776 = 41472^2 + 72576^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×6987202560² = 97641999228941107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 537477114 + ... + 537477126.

Almost surely, 2^6987202560 is an apocalyptic number.

6987202560 is a gapful number since it is divisible by the number (60) 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 6987202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13543321974).

6987202560 is an abundant number, since it is smaller than the sum of its proper divisors (20099441388).

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

6987202560 is an frugal number, since it uses more digits than its factorization.

6987202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6987202560 is about 83589.4883343594. The cubic root of 6987202560 is about 1911.7647277370.

The spelling of 6987202560 in words is "six billion, nine hundred eighty-seven million, two hundred two thousand, five hundred sixty".