73575621504 has 288 divisors, whose sum is σ = 268680405240. Its totient is φ = 19110389760.

The previous prime is 73575621487. The next prime is 73575621551. The reversal of 73575621504 is 40512657537.

It is a happy number.

73575621504 is a `hidden beast` number, since 7 + 3 + 575 + 6 + 21 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 73575621504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 561682 + ... + 680174.

Almost surely, 2^73575621504 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 73575621504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134340202620).

73575621504 is an abundant number, since it is smaller than the sum of its proper divisors (195104783736).

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

73575621504 is a wasteful number, since it uses less digits than its factorization.

73575621504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118538 (or 118516 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 73575621504 in words is "seventy-three billion, five hundred seventy-five million, six hundred twenty-one thousand, five hundred four".