730657417728 has 240 divisors, whose sum is σ = 2273395680864. Its totient is φ = 207922176000.

The previous prime is 730657417727. The next prime is 730657417741. The reversal of 730657417728 is 827714756037.

It is not an unprimeable number, because it can be changed into a prime (730657417727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18871926 + ... + 18910602.

Almost surely, 2^730657417728 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 730657417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136697840432).

730657417728 is an abundant number, since it is smaller than the sum of its proper divisors (1542738263136).

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

730657417728 is a wasteful number, since it uses less digits than its factorization.

730657417728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38963 (or 38940 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 57.

The spelling of 730657417728 in words is "seven hundred thirty billion, six hundred fifty-seven million, four hundred seventeen thousand, seven hundred twenty-eight".