730904739840 has 720 divisors, whose sum is σ = 2857460652480. Its totient is φ = 177124147200.

The previous prime is 730904739743. The next prime is 730904739841. The reversal of 730904739840 is 48937409037.

730904739840 is a `hidden beast` number, since 7 + 3 + 0 + 90 + 473 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730904739841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267631275 + ... + 267634005.

Almost surely, 2^730904739840 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 730904739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428730326240).

730904739840 is an abundant number, since it is smaller than the sum of its proper divisors (2126555912640).

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

730904739840 is a wasteful number, since it uses less digits than its factorization.

730904739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 730904739840 in words is "seven hundred thirty billion, nine hundred four million, seven hundred thirty-nine thousand, eight hundred forty".