7243625664 has 448 divisors, whose sum is σ = 25281331200. Its totient is φ = 2009318400.

The previous prime is 7243625663. The next prime is 7243625729. The reversal of 7243625664 is 4665263427.

7243625664 is a `hidden beast` number, since 7 + 24 + 3 + 62 + 566 + 4 = 666.

It is a super-2 number, since 2×7243625664² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7243625663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11195389 + ... + 11196035.

Almost surely, 2^7243625664 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 7243625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640665600).

7243625664 is an abundant number, since it is smaller than the sum of its proper divisors (18037705536).

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

7243625664 is a wasteful number, since it uses less digits than its factorization.

7243625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 713 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 7243625664 is about 85109.4922085663. The cubic root of 7243625664 is about 1934.8709294354.

The spelling of 7243625664 in words is "seven billion, two hundred forty-three million, six hundred twenty-five thousand, six hundred sixty-four".