7213734528 has 512 divisors, whose sum is σ = 26320896000. Its totient is φ = 1725050880.

The previous prime is 7213734499. The next prime is 7213734557. The reversal of 7213734528 is 8254373127.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7213734499) and next prime (7213734557).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7213734528.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18834625 + ... + 18835007.

It is an arithmetic number, because the mean of its divisors is an integer number (51408000).

Almost surely, 2^7213734528 is an apocalyptic number.

7213734528 is a gapful number since it is divisible by the number (78) 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 7213734528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13160448000).

7213734528 is an abundant number, since it is smaller than the sum of its proper divisors (19107161472).

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

7213734528 is a wasteful number, since it uses less digits than its factorization.

7213734528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 419 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 7213734528 is about 84933.7066658462. The cubic root of 7213734528 is about 1932.2058171828.

The spelling of 7213734528 in words is "seven billion, two hundred thirteen million, seven hundred thirty-four thousand, five hundred twenty-eight".