7482784968 has 128 divisors (see below), whose sum is σ = 21063369600. Its totient is φ = 2461132800.

The previous prime is 7482784937. The next prime is 7482784979. The reversal of 7482784968 is 8694872847.

7482784968 is a `hidden beast` number, since 74 + 8 + 2 + 78 + 496 + 8 = 666.

It is a super-2 number, since 2×7482784968² (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 31 ways as a sum of consecutive naturals, for example, 6858103 + ... + 6859193.

It is an arithmetic number, because the mean of its divisors is an integer number (164557575).

Almost surely, 2^7482784968 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 7482784968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10531684800).

7482784968 is an abundant number, since it is smaller than the sum of its proper divisors (13580584632).

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

7482784968 is a wasteful number, since it uses less digits than its factorization.

7482784968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1490 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The square root of 7482784968 is about 86503.0922453065. The cubic root of 7482784968 is about 1955.9350160954.

The spelling of 7482784968 in words is "seven billion, four hundred eighty-two million, seven hundred eighty-four thousand, nine hundred sixty-eight".