730865721600 has 2160 divisors, whose sum is σ = 3268000834560. Its totient is φ = 157659955200.

The previous prime is 730865721583. The next prime is 730865721601. The reversal of 730865721600 is 6127568037.

730865721600 is a `hidden beast` number, since 7 + 30 + 8 + 6 + 5 + 7 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is not an unprimeable number, because it can be changed into a prime (730865721601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8211974356 + ... + 8211974444.

Almost surely, 2^730865721600 is an apocalyptic number.

730865721600 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 730865721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634000417280).

730865721600 is an abundant number, since it is smaller than the sum of its proper divisors (2537135112960).

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

730865721600 is a wasteful number, since it uses less digits than its factorization.

730865721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 730865721600 in words is "seven hundred thirty billion, eight hundred sixty-five million, seven hundred twenty-one thousand, six hundred".