73140462304 has 288 divisors, whose sum is σ = 191507742720. Its totient is φ = 27177679872.

The previous prime is 73140462257. The next prime is 73140462313. The reversal of 73140462304 is 40326404137.

It is a self number, because there is not a number n which added to its sum of digits gives 73140462304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49185849 + ... + 49187335.

It is an arithmetic number, because the mean of its divisors is an integer number (664957440).

Almost surely, 2^73140462304 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 73140462304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95753871360).

73140462304 is an abundant number, since it is smaller than the sum of its proper divisors (118367280416).

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

73140462304 is a wasteful number, since it uses less digits than its factorization.

73140462304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The spelling of 73140462304 in words is "seventy-three billion, one hundred forty million, four hundred sixty-two thousand, three hundred four".