73501518464 has 64 divisors (see below), whose sum is σ = 160577441280. Its totient is φ = 33234739200.

The previous prime is 73501518457. The next prime is 73501518479. The reversal of 73501518464 is 46481510537.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132272 + ... + 405584.

It is an arithmetic number, because the mean of its divisors is an integer number (2509022520).

Almost surely, 2^73501518464 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 73501518464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80288720640).

73501518464 is an abundant number, since it is smaller than the sum of its proper divisors (87075922816).

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

73501518464 is a wasteful number, since it uses less digits than its factorization.

73501518464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273529 (or 273517 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 73501518464 in words is "seventy-three billion, five hundred one million, five hundred eighteen thousand, four hundred sixty-four".