7625294144 has 112 divisors (see below), whose sum is σ = 17420417280. Its totient is φ = 3283906560.

The previous prime is 7625294137. The next prime is 7625294153. The reversal of 7625294144 is 4414925267.

It is a super-2 number, since 2×7625294144² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7625294095 and 7625294104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779717 + ... + 789435.

It is an arithmetic number, because the mean of its divisors is an integer number (155539440).

Almost surely, 2^7625294144 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 7625294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8710208640).

7625294144 is an abundant number, since it is smaller than the sum of its proper divisors (9795123136).

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

7625294144 is a wasteful number, since it uses less digits than its factorization.

7625294144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9808 (or 9798 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 7625294144 is about 87322.9302302666. The cubic root of 7625294144 is about 1968.2739004503.

The spelling of 7625294144 in words is "seven billion, six hundred twenty-five million, two hundred ninety-four thousand, one hundred forty-four".