73413217920 has 1024 divisors, whose sum is σ = 295997276160. Its totient is φ = 15109079040.

The previous prime is 73413217919. The next prime is 73413218009. The reversal of 73413217920 is 2971231437.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 450387759 + ... + 450387921.

It is an arithmetic number, because the mean of its divisors is an integer number (289059840).

Almost surely, 2^73413217920 is an apocalyptic number.

73413217920 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 73413217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147998638080).

73413217920 is an abundant number, since it is smaller than the sum of its proper divisors (222584058240).

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

73413217920 is a wasteful number, since it uses less digits than its factorization.

73413217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 73413217920 in words is "seventy-three billion, four hundred thirteen million, two hundred seventeen thousand, nine hundred twenty".