73826248608 has 480 divisors, whose sum is σ = 272583843840. Its totient is φ = 19112163840.

The previous prime is 73826248603. The next prime is 73826248633. The reversal of 73826248608 is 80684262837.

73826248608 is a `hidden beast` number, since 7 + 3 + 8 + 2 + 6 + 24 + 8 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (73826248603) 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, 7924273 + ... + 7933583.

It is an arithmetic number, because the mean of its divisors is an integer number (567883008).

Almost surely, 2^73826248608 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 73826248608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136291921920).

73826248608 is an abundant number, since it is smaller than the sum of its proper divisors (198757595232).

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

73826248608 is a wasteful number, since it uses less digits than its factorization.

73826248608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9382 (or 9365 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 73826248608 in words is "seventy-three billion, eight hundred twenty-six million, two hundred forty-eight thousand, six hundred eight".