730653884352 has 896 divisors, whose sum is σ = 2661667706880. Its totient is φ = 191819612160.

The previous prime is 730653884321. The next prime is 730653884353. The reversal of 730653884352 is 253488356037.

It is a happy number.

730653884352 is a `hidden beast` number, since 73 + 0 + 6 + 538 + 8 + 4 + 35 + 2 = 666.

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 (730653884353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2493699118 + ... + 2493699410.

It is an arithmetic number, because the mean of its divisors is an integer number (2970611280).

Almost surely, 2^730653884352 is an apocalyptic number.

730653884352 is a gapful number since it is divisible by the number (72) 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 730653884352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330833853440).

730653884352 is an abundant number, since it is smaller than the sum of its proper divisors (1931013822528).

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

730653884352 is a wasteful number, since it uses less digits than its factorization.

730653884352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 730653884352 in words is "seven hundred thirty billion, six hundred fifty-three million, eight hundred eighty-four thousand, three hundred fifty-two".