73908806400 has 1080 divisors, whose sum is σ = 321371816304. Its totient is φ = 16522444800.

The previous prime is 73908806357. The next prime is 73908806423. The reversal of 73908806400 is 460880937.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74130702 + ... + 74131698.

Almost surely, 2^73908806400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73908806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160685908152).

73908806400 is an abundant number, since it is smaller than the sum of its proper divisors (247463009904).

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

73908806400 is a wasteful number, since it uses less digits than its factorization.

73908806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 73908806400 in words is "seventy-three billion, nine hundred eight million, eight hundred six thousand, four hundred".