7447946688 has 504 divisors, whose sum is σ = 27319638528. Its totient is φ = 1922199552.

The previous prime is 7447946683. The next prime is 7447946711. The reversal of 7447946688 is 8866497447.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7447946683) 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 71 ways as a sum of consecutive naturals, for example, 19446145 + ... + 19446527.

It is an arithmetic number, because the mean of its divisors is an integer number (54205632).

Almost surely, 2^7447946688 is an apocalyptic number.

7447946688 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 7447946688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659819264).

7447946688 is an abundant number, since it is smaller than the sum of its proper divisors (19871691840).

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

7447946688 is a wasteful number, since it uses less digits than its factorization.

7447946688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 461 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The square root of 7447946688 is about 86301.4871714271. The cubic root of 7447946688 is about 1952.8948183998.

The spelling of 7447946688 in words is "seven billion, four hundred forty-seven million, nine hundred forty-six thousand, six hundred eighty-eight".