7135328256 has 288 divisors, whose sum is σ = 22419043920. Its totient is φ = 2012086272.

The previous prime is 7135328231. The next prime is 7135328257. The reversal of 7135328256 is 6528235317.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7135328257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41244586 + ... + 41244758.

Almost surely, 2^7135328256 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 7135328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11209521960).

7135328256 is an abundant number, since it is smaller than the sum of its proper divisors (15283715664).

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

7135328256 is a wasteful number, since it uses less digits than its factorization.

7135328256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 322 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 7135328256 is about 84470.8722341613. The cubic root of 7135328256 is about 1925.1799016440.

The spelling of 7135328256 in words is "seven billion, one hundred thirty-five million, three hundred twenty-eight thousand, two hundred fifty-six".