73398558240 has 864 divisors, whose sum is σ = 307749274560. Its totient is φ = 16467204096.

The previous prime is 73398558193. The next prime is 73398558241. The reversal of 73398558240 is 4285589337.

73398558240 is a `hidden beast` number, since 7 + 3 + 398 + 5 + 5 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73398558241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112401754 + ... + 112402406.

It is an arithmetic number, because the mean of its divisors is an integer number (356191290).

Almost surely, 2^73398558240 is an apocalyptic number.

73398558240 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 73398558240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153874637280).

73398558240 is an abundant number, since it is smaller than the sum of its proper divisors (234350716320).

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

73398558240 is a wasteful number, since it uses less digits than its factorization.

73398558240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 73398558240 in words is "seventy-three billion, three hundred ninety-eight million, five hundred fifty-eight thousand, two hundred forty".