7625038032 has 100 divisors (see below), whose sum is σ = 22087313380. Its totient is φ = 2539579392.

The previous prime is 7625038027. The next prime is 7625038049. The reversal of 7625038032 is 2308305267.

7625038032 is a `hidden beast` number, since 76 + 2 + 503 + 80 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2077171776 + 5547866256 = 45576^2 + 74484^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2939328 + ... + 2941920.

Almost surely, 2^7625038032 is an apocalyptic number.

7625038032 is a gapful number since it is divisible by the number (72) 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 7625038032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11043656690).

7625038032 is an abundant number, since it is smaller than the sum of its proper divisors (14462275348).

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

7625038032 is a wasteful number, since it uses less digits than its factorization.

7625038032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 7625038032 is about 87321.4637531919. The cubic root of 7625038032 is about 1968.2518639579.

The spelling of 7625038032 in words is "seven billion, six hundred twenty-five million, thirty-eight thousand, thirty-two".