73978324992 has 864 divisors, whose sum is σ = 269346954240. Its totient is φ = 19322634240.

The previous prime is 73978324991. The next prime is 73978325063. The reversal of 73978324992 is 29942387937.

73978324992 is a `hidden beast` number, since 73 + 9 + 78 + 3 + 2 + 499 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (73978324991) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 582506433 + ... + 582506559.

It is an arithmetic number, because the mean of its divisors is an integer number (311744160).

Almost surely, 2^73978324992 is an apocalyptic number.

73978324992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73978324992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134673477120).

73978324992 is an abundant number, since it is smaller than the sum of its proper divisors (195368629248).

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

73978324992 is a wasteful number, since it uses less digits than its factorization.

73978324992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 173 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 73978324992 in words is "seventy-three billion, nine hundred seventy-eight million, three hundred twenty-four thousand, nine hundred ninety-two".