730819676160 has 576 divisors, whose sum is σ = 2900242800000. Its totient is φ = 166726729728.

The previous prime is 730819676141. The next prime is 730819676161. The reversal of 730819676160 is 61676918037.

It is a happy number.

730819676160 is a `hidden beast` number, since 7 + 3 + 0 + 8 + 19 + 6 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 730819676097 and 730819676106.

It is not an unprimeable number, because it can be changed into a prime (730819676161) 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, 585123216 + ... + 585124464.

It is an arithmetic number, because the mean of its divisors is an integer number (5035143750).

Almost surely, 2^730819676160 is an apocalyptic number.

730819676160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730819676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450121400000).

730819676160 is an abundant number, since it is smaller than the sum of its proper divisors (2169423123840).

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

730819676160 is a wasteful number, since it uses less digits than its factorization.

730819676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 730819676160 in words is "seven hundred thirty billion, eight hundred nineteen million, six hundred seventy-six thousand, one hundred sixty".