73654121344 has 64 divisors (see below), whose sum is σ = 150401472480. Its totient is φ = 35907379200.

The previous prime is 73654121311. The next prime is 73654121353. The reversal of 73654121344 is 44312145637.

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

It is a junction number, because it is equal to n+sod(n) for n = 73654121297 and 73654121306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12125092 + ... + 12131164.

Almost surely, 2^73654121344 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 73654121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75200736240).

73654121344 is an abundant number, since it is smaller than the sum of its proper divisors (76747351136).

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

73654121344 is a wasteful number, since it uses less digits than its factorization.

73654121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8439 (or 8427 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The spelling of 73654121344 in words is "seventy-three billion, six hundred fifty-four million, one hundred twenty-one thousand, three hundred forty-four".