7238624256 has 264 divisors, whose sum is σ = 22366013280. Its totient is φ = 2248114176.

The previous prime is 7238624227. The next prime is 7238624297. The reversal of 7238624256 is 6524268327.

It is a super-3 number, since 3×7238624256³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11731660 + ... + 11732276.

Almost surely, 2^7238624256 is an apocalyptic number.

7238624256 is a gapful number since it is divisible by the number (76) 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 7238624256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11183006640).

7238624256 is an abundant number, since it is smaller than the sum of its proper divisors (15127389024).

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

7238624256 is a wasteful number, since it uses less digits than its factorization.

7238624256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 708 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 7238624256 is about 85080.1049364656. The cubic root of 7238624256 is about 1934.4255122070.

The spelling of 7238624256 in words is "seven billion, two hundred thirty-eight million, six hundred twenty-four thousand, two hundred fifty-six".