73908321696 has 576 divisors, whose sum is σ = 247496086656. Its totient is φ = 21678243840.

The previous prime is 73908321671. The next prime is 73908321757. The reversal of 73908321696 is 69612380937.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382944576 + ... + 382944768.

It is an arithmetic number, because the mean of its divisors is an integer number (429680706).

Almost surely, 2^73908321696 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 73908321696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123748043328).

73908321696 is an abundant number, since it is smaller than the sum of its proper divisors (173587764960).

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

73908321696 is a wasteful number, since it uses less digits than its factorization.

73908321696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 73908321696 in words is "seventy-three billion, nine hundred eight million, three hundred twenty-one thousand, six hundred ninety-six".