730868437720512 has 2240 divisors, whose sum is σ = 2820903224832000. Its totient is φ = 181837109329920.

The previous prime is 730868437720493. The next prime is 730868437720523. The reversal of 730868437720512 is 215027734868037.

It is a happy number.

730868437720512 is a `hidden beast` number, since 7 + 3 + 0 + 8 + 6 + 8 + 43 + 7 + 72 + 0 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 730868437720512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 522422041989 + ... + 522422043387.

It is an arithmetic number, because the mean of its divisors is an integer number (1259331796800).

Almost surely, 2^{730868437720512} is an apocalyptic number.

730868437720512 is a gapful number since it is divisible by the number (72) 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 730868437720512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410451612416000).

730868437720512 is an abundant number, since it is smaller than the sum of its proper divisors (2090034787111488).

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

730868437720512 is a wasteful number, since it uses less digits than its factorization.

730868437720512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 730868437720512 in words is "seven hundred thirty trillion, eight hundred sixty-eight billion, four hundred thirty-seven million, seven hundred twenty thousand, five hundred twelve".