7485627688 has 192 divisors, whose sum is σ = 18320256000. Its totient is φ = 2834496000.

The previous prime is 7485627683. The next prime is 7485627703. The reversal of 7485627688 is 8867265847.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is not an unprimeable number, because it can be changed into a prime (7485627683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39191673 + ... + 39191863.

It is an arithmetic number, because the mean of its divisors is an integer number (95418000).

Almost surely, 2^7485627688 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 7485627688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160128000).

7485627688 is an abundant number, since it is smaller than the sum of its proper divisors (10834628312).

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

7485627688 is a wasteful number, since it uses less digits than its factorization.

7485627688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 61.

The square root of 7485627688 is about 86519.5220051521. The cubic root of 7485627688 is about 1956.1826721778.

The spelling of 7485627688 in words is "seven billion, four hundred eighty-five million, six hundred twenty-seven thousand, six hundred eighty-eight".