73480915200 has 864 divisors, whose sum is σ = 315631798272. Its totient is φ = 14598144000.

The previous prime is 73480915181. The next prime is 73480915201. The reversal of 73480915200 is 251908437.

It is not an unprimeable number, because it can be changed into a prime (73480915201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34002120 + ... + 34004280.

Almost surely, 2^73480915200 is an apocalyptic number.

73480915200 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 73480915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157815899136).

73480915200 is an abundant number, since it is smaller than the sum of its proper divisors (242150883072).

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

73480915200 is a wasteful number, since it uses less digits than its factorization.

73480915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 73480915200 in words is "seventy-three billion, four hundred eighty million, nine hundred fifteen thousand, two hundred".