75463812648 has 320 divisors, whose sum is σ = 252330883200. Its totient is φ = 20620085760.

The previous prime is 75463812607. The next prime is 75463812649. The reversal of 75463812648 is 84621836457.

It is a happy number.

75463812648 is a `hidden beast` number, since 7 + 546 + 38 + 1 + 2 + 64 + 8 = 666.

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 = 75463812594 and 75463812603.

It is not an unprimeable number, because it can be changed into a prime (75463812649) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9898278 + ... + 9905898.

It is an arithmetic number, because the mean of its divisors is an integer number (788534010).

Almost surely, 2^75463812648 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 75463812648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126165441600).

75463812648 is an abundant number, since it is smaller than the sum of its proper divisors (176867070552).

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

75463812648 is a wasteful number, since it uses less digits than its factorization.

75463812648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7742 (or 7729 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 75463812648 in words is "seventy-five billion, four hundred sixty-three million, eight hundred twelve thousand, six hundred forty-eight".