7266827520 has 432 divisors, whose sum is σ = 26570299392. Its totient is φ = 1901076480.

The previous prime is 7266827489. The next prime is 7266827543. The reversal of 7266827520 is 257286627.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×7266827520³ (a number of 31 digits) contains 333 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 47 ways as a sum of consecutive naturals, for example, 18973249 + ... + 18973631.

Almost surely, 2^7266827520 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 7266827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13285149696).

7266827520 is an abundant number, since it is smaller than the sum of its proper divisors (19303471872).

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

7266827520 is an equidigital number, since it uses as much as digits as its factorization.

7266827520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7266827520 is about 85245.6891578689. The cubic root of 7266827520 is about 1936.9345714320.

The spelling of 7266827520 in words is "seven billion, two hundred sixty-six million, eight hundred twenty-seven thousand, five hundred twenty".