73386086400 has 1248 divisors, whose sum is σ = 312018124800. Its totient is φ = 16721510400.

The previous prime is 73386086399. The next prime is 73386086467. The reversal of 73386086400 is 468068337.

73386086400 is a `hidden beast` number, since 7 + 3 + 38 + 608 + 6 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 577843137 + ... + 577843263.

Almost surely, 2^73386086400 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 73386086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156009062400).

73386086400 is an abundant number, since it is smaller than the sum of its proper divisors (238632038400).

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

73386086400 is a wasteful number, since it uses less digits than its factorization.

73386086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 73386086400 in words is "seventy-three billion, three hundred eighty-six million, eighty-six thousand, four hundred".