730349765640 has 512 divisors, whose sum is σ = 2823994368000. Its totient is φ = 165931315200.

The previous prime is 730349765617. The next prime is 730349765647. The reversal of 730349765640 is 46567943037.

It is a happy number.

730349765640 is a `hidden beast` number, since 7 + 3 + 0 + 3 + 4 + 9 + 76 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (730349765647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48260875 + ... + 48276005.

It is an arithmetic number, because the mean of its divisors is an integer number (5515614000).

Almost surely, 2^730349765640 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 730349765640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411997184000).

730349765640 is an abundant number, since it is smaller than the sum of its proper divisors (2093644602360).

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

730349765640 is a wasteful number, since it uses less digits than its factorization.

730349765640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15418 (or 15408 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 730349765640 in words is "seven hundred thirty billion, three hundred forty-nine million, seven hundred sixty-five thousand, six hundred forty".