7428177920 has 68 divisors (see below), whose sum is σ = 17828277420. Its totient is φ = 2971140096.

The previous prime is 7428177919. The next prime is 7428177923. The reversal of 7428177920 is 297718247.

It can be written as a sum of positive squares in 2 ways, for example, as 5398134784 + 2030043136 = 73472^2 + 45056^2 .

It is a super-2 number, since 2×7428177920² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7428177923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 316346 + ... + 339014.

Almost surely, 2^7428177920 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 7428177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8914138710).

7428177920 is an abundant number, since it is smaller than the sum of its proper divisors (10400099500).

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

7428177920 is an frugal number, since it uses more digits than its factorization.

7428177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22706 (or 22676 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 47.

The square root of 7428177920 is about 86186.8778875300. The cubic root of 7428177920 is about 1951.1654588994.

The spelling of 7428177920 in words is "seven billion, four hundred twenty-eight million, one hundred seventy-seven thousand, nine hundred twenty".