73554669216 has 576 divisors, whose sum is σ = 271639630080. Its totient is φ = 19090391040.

The previous prime is 73554669193. The next prime is 73554669263. The reversal of 73554669216 is 61296645537.

73554669216 is a `hidden beast` number, since 7 + 3 + 5 + 546 + 6 + 92 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26833606 + ... + 26836346.

It is an arithmetic number, because the mean of its divisors is an integer number (471596580).

Almost surely, 2^73554669216 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 73554669216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135819815040).

73554669216 is an abundant number, since it is smaller than the sum of its proper divisors (198084960864).

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

73554669216 is a wasteful number, since it uses less digits than its factorization.

73554669216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2799 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 73554669216 in words is "seventy-three billion, five hundred fifty-four million, six hundred sixty-nine thousand, two hundred sixteen".