7106442480 has 480 divisors, whose sum is σ = 26146897920. Its totient is φ = 1724405760.

The previous prime is 7106442467. The next prime is 7106442509. The reversal of 7106442480 is 842446017.

7106442480 is a `hidden beast` number, since 7 + 1 + 0 + 644 + 2 + 4 + 8 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55956177 + ... + 55956303.

It is an arithmetic number, because the mean of its divisors is an integer number (54472704).

Almost surely, 2^7106442480 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 7106442480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13073448960).

7106442480 is an abundant number, since it is smaller than the sum of its proper divisors (19040455440).

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

7106442480 is a wasteful number, since it uses less digits than its factorization.

7106442480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 7106442480 is about 84299.7181489950. The cubic root of 7106442480 is about 1922.5785017461.

Adding to 7106442480 its reverse (842446017), we get a palindrome (7948888497).

The spelling of 7106442480 in words is "seven billion, one hundred six million, four hundred forty-two thousand, four hundred eighty".