73004513400 has 576 divisors, whose sum is σ = 303029563200. Its totient is φ = 15338004480.

The previous prime is 73004513369. The next prime is 73004513437. The reversal of 73004513400 is 431540037.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45371796 + ... + 45373404.

Almost surely, 2^73004513400 is an apocalyptic number.

73004513400 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 73004513400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151514781600).

73004513400 is an abundant number, since it is smaller than the sum of its proper divisors (230025049800).

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

73004513400 is a wasteful number, since it uses less digits than its factorization.

73004513400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 73004513400 in words is "seventy-three billion, four million, five hundred thirteen thousand, four hundred".