730061560800 has 864 divisors, whose sum is σ = 3034149614496. Its totient is φ = 162846720000.

The previous prime is 730061560783. The next prime is 730061560817. The reversal of 730061560800 is 8065160037.

730061560800 is a `hidden beast` number, since 7 + 30 + 0 + 6 + 15 + 608 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (730061560783) and next prime (730061560817).

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 (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 384039850 + ... + 384041750.

It is an arithmetic number, because the mean of its divisors is an integer number (3511747239).

Almost surely, 2^730061560800 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 730061560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517074807248).

730061560800 is an abundant number, since it is smaller than the sum of its proper divisors (2304088053696).

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

730061560800 is a wasteful number, since it uses less digits than its factorization.

730061560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 730061560800 in words is "seven hundred thirty billion, sixty-one million, five hundred sixty thousand, eight hundred".