7479552906 has 128 divisors (see below), whose sum is σ = 19366225920. Its totient is φ = 2095632000.

The previous prime is 7479552889. The next prime is 7479552911. The reversal of 7479552906 is 6092559747.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7116081 + ... + 7117131.

It is an arithmetic number, because the mean of its divisors is an integer number (151298640).

Almost surely, 2^7479552906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7479552906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9683112960).

7479552906 is an abundant number, since it is smaller than the sum of its proper divisors (11886673014).

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

7479552906 is a wasteful number, since it uses less digits than its factorization.

7479552906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The square root of 7479552906 is about 86484.4084560911. The cubic root of 7479552906 is about 1955.6533645593.

The spelling of 7479552906 in words is "seven billion, four hundred seventy-nine million, five hundred fifty-two thousand, nine hundred six".