730189145499840 has 588 divisors, whose sum is σ = 2822912442407664. Its totient is φ = 179738856880128.

The previous prime is 730189145499829. The next prime is 730189145499893. The reversal of 730189145499840 is 48994541981037.

730189145499840 is a `hidden beast` number, since 7 + 3 + 0 + 1 + 8 + 9 + 1 + 454 + 99 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 83 ways as a sum of consecutive naturals, for example, 30163677 + ... + 48684963.

Almost surely, 2^{730189145499840} 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 730189145499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411456221203832).

730189145499840 is an abundant number, since it is smaller than the sum of its proper divisors (2092723296907824).

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

730189145499840 is a wasteful number, since it uses less digits than its factorization.

730189145499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18521348 (or 18521310 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 730189145499840 in words is "seven hundred thirty trillion, one hundred eighty-nine billion, one hundred forty-five million, four hundred ninety-nine thousand, eight hundred forty".