7825175488 has 112 divisors (see below), whose sum is σ = 17074062880. Its totient is φ = 3536400384.

The previous prime is 7825175471. The next prime is 7825175489. The reversal of 7825175488 is 8845715287.

It is a super-2 number, since 2×7825175488² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7825175489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12765070 + ... + 12765682.

It is an arithmetic number, because the mean of its divisors is an integer number (152446990).

Almost surely, 2^7825175488 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 7825175488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8537031440).

7825175488 is an abundant number, since it is smaller than the sum of its proper divisors (9248887392).

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

7825175488 is a wasteful number, since it uses less digits than its factorization.

7825175488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 924 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 55.

The square root of 7825175488 is about 88460.0219760316. The cubic root of 7825175488 is about 1985.3238595407.

The spelling of 7825175488 in words is "seven billion, eight hundred twenty-five million, one hundred seventy-five thousand, four hundred eighty-eight".