7428697056 has 384 divisors, whose sum is σ = 24429081600. Its totient is φ = 2177280000.

The previous prime is 7428697051. The next prime is 7428697057. The reversal of 7428697056 is 6507968247.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7428696993 and 7428697011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7428697051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68153130 + ... + 68153238.

It is an arithmetic number, because the mean of its divisors is an integer number (63617400).

Almost surely, 2^7428697056 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 7428697056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12214540800).

7428697056 is an abundant number, since it is smaller than the sum of its proper divisors (17000384544).

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

7428697056 is a wasteful number, since it uses less digits than its factorization.

7428697056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 7428697056 is about 86189.8895230757. The cubic root of 7428697056 is about 1951.2109117972.

The spelling of 7428697056 in words is "seven billion, four hundred twenty-eight million, six hundred ninety-seven thousand, fifty-six".