73104824940 has 192 divisors, whose sum is σ = 248182631424. Its totient is φ = 15695880192.

The previous prime is 73104824893. The next prime is 73104824971. The reversal of 73104824940 is 4942840137.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 73104824892 and 73104824901.

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, 3724432 + ... + 3744008.

It is an arithmetic number, because the mean of its divisors is an integer number (1292617872).

Almost surely, 2^73104824940 is an apocalyptic number.

73104824940 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73104824940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124091315712).

73104824940 is an abundant number, since it is smaller than the sum of its proper divisors (175077806484).

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

73104824940 is a wasteful number, since it uses less digits than its factorization.

73104824940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20136 (or 20134 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 73104824940 in words is "seventy-three billion, one hundred four million, eight hundred twenty-four thousand, nine hundred forty".