73508352768 has 360 divisors, whose sum is σ = 236144955200. Its totient is φ = 22668097536.

The previous prime is 73508352761. The next prime is 73508352779. The reversal of 73508352768 is 86725380537.

73508352768 is a `hidden beast` number, since 7 + 3 + 50 + 8 + 3 + 527 + 68 = 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 (73508352761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16939143 + ... + 16943481.

Almost surely, 2^73508352768 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 73508352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118072477600).

73508352768 is an abundant number, since it is smaller than the sum of its proper divisors (162636602432).

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

73508352768 is a wasteful number, since it uses less digits than its factorization.

73508352768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 73508352768 in words is "seventy-three billion, five hundred eight million, three hundred fifty-two thousand, seven hundred sixty-eight".