7408412928 has 504 divisors, whose sum is σ = 26058449088. Its totient is φ = 2057342976.

The previous prime is 7408412903. The next prime is 7408412951. The reversal of 7408412928 is 8292148047.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×7408412928² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 69237451 + ... + 69237557.

It is an arithmetic number, because the mean of its divisors is an integer number (51703272).

Almost surely, 2^7408412928 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 7408412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13029224544).

7408412928 is an abundant number, since it is smaller than the sum of its proper divisors (18650036160).

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

7408412928 is an equidigital number, since it uses as much as digits as its factorization.

7408412928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 7408412928 is about 86072.1379309240. The cubic root of 7408412928 is about 1949.4333596192.

The spelling of 7408412928 in words is "seven billion, four hundred eight million, four hundred twelve thousand, nine hundred twenty-eight".