73124559648 has 384 divisors, whose sum is σ = 250048512000. Its totient is φ = 20781556992.

The previous prime is 73124559637. The next prime is 73124559659. The reversal of 73124559648 is 84695542137.

It is a happy number.

73124559648 is a `hidden beast` number, since 7 + 3 + 1 + 2 + 4 + 5 + 596 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (73124559637) and next prime (73124559659).

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 = 73124559594 and 73124559603.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67271361 + ... + 67272447.

It is an arithmetic number, because the mean of its divisors is an integer number (651168000).

Almost surely, 2^73124559648 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 73124559648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125024256000).

73124559648 is an abundant number, since it is smaller than the sum of its proper divisors (176923952352).

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

73124559648 is a wasteful number, since it uses less digits than its factorization.

73124559648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1326 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 73124559648 in words is "seventy-three billion, one hundred twenty-four million, five hundred fifty-nine thousand, six hundred forty-eight".