7429848768 has 280 divisors, whose sum is σ = 23354151920. Its totient is φ = 2329067520.

The previous prime is 7429848761. The next prime is 7429848809. The reversal of 7429848768 is 8678489247.

7429848768 is a `hidden beast` number, since 7 + 4 + 2 + 98 + 487 + 68 = 666.

It is a super-2 number, since 2×7429848768² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7429848761) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 23737380 + ... + 23737692.

Almost surely, 2^7429848768 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 7429848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11677075960).

7429848768 is an abundant number, since it is smaller than the sum of its proper divisors (15924303152).

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

7429848768 is a wasteful number, since it uses less digits than its factorization.

7429848768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 578 counting only the distinct ones).

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

The square root of 7429848768 is about 86196.5705118249. The cubic root of 7429848768 is about 1951.3117422605.

The spelling of 7429848768 in words is "seven billion, four hundred twenty-nine million, eight hundred forty-eight thousand, seven hundred sixty-eight".