7875448506 has 64 divisors (see below), whose sum is σ = 18082344960. Its totient is φ = 2538105840.

The previous prime is 7875448487. The next prime is 7875448507. The reversal of 7875448506 is 6058445787.

7875448506 is a `hidden beast` number, since 7 + 87 + 54 + 4 + 8 + 506 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7875448507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3191085 + ... + 3193551.

It is an arithmetic number, because the mean of its divisors is an integer number (282536640).

Almost surely, 2^7875448506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7875448506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041172480).

7875448506 is an abundant number, since it is smaller than the sum of its proper divisors (10206896454).

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

7875448506 is a wasteful number, since it uses less digits than its factorization.

7875448506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The square root of 7875448506 is about 88743.7237555423. The cubic root of 7875448506 is about 1989.5663732001.

It can be divided in two parts, 78754 and 48506, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 7875448506 in words is "seven billion, eight hundred seventy-five million, four hundred forty-eight thousand, five hundred six".