7479558144 has 170 divisors, whose sum is σ = 22362023310. Its totient is φ = 2491416576.

The previous prime is 7479558143. The next prime is 7479558157. The reversal of 7479558144 is 4418559747.

7479558144 is a `hidden beast` number, since 7 + 4 + 79 + 558 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4161798144 + 3317760000 = 64512^2 + 57600^2 .

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 (7479558143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5307712 + ... + 5309120.

Almost surely, 2^7479558144 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 7479558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11181011655).

7479558144 is an abundant number, since it is smaller than the sum of its proper divisors (14882465166).

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

7479558144 is an frugal number, since it uses more digits than its factorization.

7479558144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1414 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The square root of 7479558144 is about 86484.4387390009. The cubic root of 7479558144 is about 1955.6538210799.

The spelling of 7479558144 in words is "seven billion, four hundred seventy-nine million, five hundred fifty-eight thousand, one hundred forty-four".