73084507440 has 480 divisors, whose sum is σ = 280910592000. Its totient is φ = 15636031488.

The previous prime is 73084507439. The next prime is 73084507459. The reversal of 73084507440 is 4470548037.

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 = 73084507392 and 73084507401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12709686 + ... + 12715434.

It is an arithmetic number, because the mean of its divisors is an integer number (585230400).

Almost surely, 2^73084507440 is an apocalyptic number.

73084507440 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 73084507440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140455296000).

73084507440 is an abundant number, since it is smaller than the sum of its proper divisors (207826084560).

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

73084507440 is a wasteful number, since it uses less digits than its factorization.

73084507440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5849 (or 5836 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 73084507440 in words is "seventy-three billion, eighty-four million, five hundred seven thousand, four hundred forty".