73682784000 has 1440 divisors, whose sum is σ = 325945331712. Its totient is φ = 16174080000.

The previous prime is 73682783939. The next prime is 73682784037. The reversal of 73682784000 is 48728637.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 562463935 + ... + 562464065.

Almost surely, 2^73682784000 is an apocalyptic number.

73682784000 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 73682784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162972665856).

73682784000 is an abundant number, since it is smaller than the sum of its proper divisors (252262547712).

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

73682784000 is a wasteful number, since it uses less digits than its factorization.

73682784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 73682784000 in words is "seventy-three billion, six hundred eighty-two million, seven hundred eighty-four thousand".