7164268560 has 200 divisors, whose sum is σ = 25555923096. Its totient is φ = 1858775040.

The previous prime is 7164268543. The next prime is 7164268577. The reversal of 7164268560 is 658624617.

7164268560 is a `hidden beast` number, since 7 + 1 + 64 + 26 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (7164268543) and next prime (7164268577).

It can be written as a sum of positive squares in 4 ways, for example, as 730945296 + 6433323264 = 27036^2 + 80208^2 .

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

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, 224820 + ... + 254700.

Almost surely, 2^7164268560 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 7164268560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12777961548).

7164268560 is an abundant number, since it is smaller than the sum of its proper divisors (18391654536).

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

7164268560 is a wasteful number, since it uses less digits than its factorization.

7164268560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29943 (or 29928 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7164268560 is about 84642.0023392642. The cubic root of 7164268560 is about 1927.7791810483.

The spelling of 7164268560 in words is "seven billion, one hundred sixty-four million, two hundred sixty-eight thousand, five hundred sixty".