7210704564 has 180 divisors, whose sum is σ = 23218529796. Its totient is φ = 1938940416.

The previous prime is 7210704551. The next prime is 7210704583. The reversal of 7210704564 is 4654070127.

7210704564 is a `hidden beast` number, since 7 + 21 + 0 + 70 + 4 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3507008400 + 3703696164 = 59220^2 + 60858^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 256534 + ... + 283250.

Almost surely, 2^7210704564 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 7210704564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11609264898).

7210704564 is an abundant number, since it is smaller than the sum of its proper divisors (16007825232).

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

7210704564 is a wasteful number, since it uses less digits than its factorization.

7210704564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26764 (or 26746 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7210704564 is about 84915.8675631357. The cubic root of 7210704564 is about 1931.9352530287.

The spelling of 7210704564 in words is "seven billion, two hundred ten million, seven hundred four thousand, five hundred sixty-four".