730733107104 has 1920 divisors, whose sum is σ = 3099821598720. Its totient is φ = 163258675200.

The previous prime is 730733107073. The next prime is 730733107129. The reversal of 730733107104 is 401701337037.

It is a happy number.

730733107104 is a `hidden beast` number, since 7 + 307 + 331 + 0 + 7 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11979231234 + ... + 11979231294.

It is an arithmetic number, because the mean of its divisors is an integer number (1614490416).

Almost surely, 2^730733107104 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 730733107104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549910799360).

730733107104 is an abundant number, since it is smaller than the sum of its proper divisors (2369088491616).

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

730733107104 is a wasteful number, since it uses less digits than its factorization.

730733107104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The spelling of 730733107104 in words is "seven hundred thirty billion, seven hundred thirty-three million, one hundred seven thousand, one hundred four".