73280564256 has 96 divisors (see below), whose sum is σ = 194599540800. Its totient is φ = 24144215040.

The previous prime is 73280564237. The next prime is 73280564281. The reversal of 73280564256 is 65246508237.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

73280564256 is a modest number, since divided by 564256 gives 73280 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3043786 + ... + 3067766.

It is an arithmetic number, because the mean of its divisors is an integer number (2027078550).

Almost surely, 2^73280564256 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 73280564256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97299770400).

73280564256 is an abundant number, since it is smaller than the sum of its proper divisors (121318976544).

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

73280564256 is a wasteful number, since it uses less digits than its factorization.

73280564256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24362 (or 24354 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 73280564256 in words is "seventy-three billion, two hundred eighty million, five hundred sixty-four thousand, two hundred fifty-six".