7428255744 has 468 divisors, whose sum is σ = 25290335016. Its totient is φ = 1932263424.

The previous prime is 7428255707. The next prime is 7428255803. The reversal of 7428255744 is 4475528247.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (2508800) is a multiple of the sum of its prime divisors (98).

It is a junction number, because it is equal to n+sod(n) for n = 7428255693 and 7428255702.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 101756892 + ... + 101756964.

Almost surely, 2^7428255744 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 7428255744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645167508).

7428255744 is an abundant number, since it is smaller than the sum of its proper divisors (17862079272).

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

7428255744 is a wasteful number, since it uses less digits than its factorization.

7428255744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 98 counting only the distinct ones).

The product of its digits is 2508800, while the sum is 48.

The square root of 7428255744 is about 86187.3293703895. The cubic root of 7428255744 is about 1951.1722729064.

The spelling of 7428255744 in words is "seven billion, four hundred twenty-eight million, two hundred fifty-five thousand, seven hundred forty-four".