730852012800 has 972 divisors, whose sum is σ = 3273543917280. Its totient is φ = 154194001920.

The previous prime is 730852012783. The next prime is 730852012817. The reversal of 730852012800 is 8210258037.

730852012800 is a `hidden beast` number, since 7 + 3 + 0 + 8 + 520 + 128 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (730852012783) and next prime (730852012817).

It is a super-2 number, since 2×730852012800² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 36681241 + ... + 36701159.

Almost surely, 2^730852012800 is an apocalyptic number.

730852012800 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 730852012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636771958640).

730852012800 is an abundant number, since it is smaller than the sum of its proper divisors (2542691904480).

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

730852012800 is a wasteful number, since it uses less digits than its factorization.

730852012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19978 (or 19949 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 730852012800 in words is "seven hundred thirty billion, eight hundred fifty-two million, twelve thousand, eight hundred".