730929460322880 has 896 divisors, whose sum is σ = 3174405501173760. Its totient is φ = 154179342950400.

The previous prime is 730929460322863. The next prime is 730929460322951. The reversal of 730929460322880 is 88223064929037.

730929460322880 is a `hidden beast` number, since 7 + 3 + 0 + 9 + 294 + 60 + 3 + 2 + 288 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3184943497 + ... + 3185172983.

It is an arithmetic number, because the mean of its divisors is an integer number (3542863282560).

Almost surely, 2^{730929460322880} is an apocalyptic number.

730929460322880 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 730929460322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587202750586880).

730929460322880 is an abundant number, since it is smaller than the sum of its proper divisors (2443476040850880).

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

730929460322880 is a wasteful number, since it uses less digits than its factorization.

730929460322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233584 (or 233568 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 730929460322880 in words is "seven hundred thirty trillion, nine hundred twenty-nine billion, four hundred sixty million, three hundred twenty-two thousand, eight hundred eighty".