7463684736 has 192 divisors, whose sum is σ = 23243613120. Its totient is φ = 2379497472.

The previous prime is 7463684719. The next prime is 7463684749. The reversal of 7463684736 is 6374863647.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710176 + ... + 720608.

It is an arithmetic number, because the mean of its divisors is an integer number (121060485).

Almost surely, 2^7463684736 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 7463684736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621806560).

7463684736 is an abundant number, since it is smaller than the sum of its proper divisors (15779928384).

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

7463684736 is a wasteful number, since it uses less digits than its factorization.

7463684736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10485 (or 10461 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The square root of 7463684736 is about 86392.6196847856. The cubic root of 7463684736 is about 1954.2693864880.

The spelling of 7463684736 in words is "seven billion, four hundred sixty-three million, six hundred eighty-four thousand, seven hundred thirty-six".