7475238900 has 378 divisors, whose sum is σ = 25337097506. Its totient is φ = 1912896000.

The previous prime is 7475238899. The next prime is 7475238917. The reversal of 7475238900 is 98325747.

7475238900 is a `hidden beast` number, since 7 + 47 + 523 + 89 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 7261084944 + 214153956 = 85212^2 + 14634^2 .

It is a super-2 number, since 2×7475238900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 122544870 + ... + 122544930.

It is a vampire number, since it can be written as 82350 ⋅ 90774 (with its own digits).

Almost surely, 2^7475238900 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 7475238900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12668548753).

7475238900 is an abundant number, since it is smaller than the sum of its proper divisors (17861858606).

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

7475238900 is a wasteful number, since it uses less digits than its factorization.

7475238900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7475238900 is about 86459.4639122867. The cubic root of 7475238900 is about 1955.2773027369.

The spelling of 7475238900 in words is "seven billion, four hundred seventy-five million, two hundred thirty-eight thousand, nine hundred".