730890489600 has 648 divisors, whose sum is σ = 2668891680000. Its totient is φ = 190773043200.

The previous prime is 730890489569. The next prime is 730890489649. The reversal of 730890489600 is 6984098037.

730890489600 is a `hidden beast` number, since 73 + 0 + 8 + 90 + 489 + 6 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1464710151 + ... + 1464710649.

It is an arithmetic number, because the mean of its divisors is an integer number (4118660000).

Almost surely, 2^730890489600 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 730890489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334445840000).

730890489600 is an abundant number, since it is smaller than the sum of its proper divisors (1938001190400).

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

730890489600 is a wasteful number, since it uses less digits than its factorization.

730890489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 730890489600 in words is "seven hundred thirty billion, eight hundred ninety million, four hundred eighty-nine thousand, six hundred".