73349708544 has 576 divisors, whose sum is σ = 264758502400. Its totient is φ = 19564167168.

The previous prime is 73349708539. The next prime is 73349708557. The reversal of 73349708544 is 44580794337.

73349708544 is a `hidden beast` number, since 7 + 3 + 3 + 4 + 97 + 0 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 67108062 + ... + 67109154.

Almost surely, 2^73349708544 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 73349708544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132379251200).

73349708544 is an abundant number, since it is smaller than the sum of its proper divisors (191408793856).

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

73349708544 is a wasteful number, since it uses less digits than its factorization.

73349708544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 73349708544 in words is "seventy-three billion, three hundred forty-nine million, seven hundred eight thousand, five hundred forty-four".