7414728048 has 240 divisors, whose sum is σ = 26135549440. Its totient is φ = 1909910016.

The previous prime is 7414728031. The next prime is 7414728071. The reversal of 7414728048 is 8408274147.

It is a junction number, because it is equal to n+sod(n) for n = 7414727994 and 7414728012.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 556893 + ... + 570051.

Almost surely, 2^7414728048 is an apocalyptic number.

7414728048 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7414728048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13067774720).

7414728048 is an abundant number, since it is smaller than the sum of its proper divisors (18720821392).

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

7414728048 is a wasteful number, since it uses less digits than its factorization.

7414728048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13236 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 7414728048 is about 86108.8151584958. The cubic root of 7414728048 is about 1949.9871178636.

The spelling of 7414728048 in words is "seven billion, four hundred fourteen million, seven hundred twenty-eight thousand, forty-eight".