930730705920 has 264 divisors, whose sum is σ = 3244295605824. Its totient is φ = 246706618368.

The previous prime is 930730705873. The next prime is 930730705943. The reversal of 930730705920 is 29507037039.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7634887 + ... + 7755833.

Almost surely, 2^930730705920 is an apocalyptic number.

930730705920 is a gapful number since it is divisible by the number (90) 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 930730705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622147802912).

930730705920 is an abundant number, since it is smaller than the sum of its proper divisors (2313564899904).

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

930730705920 is a wasteful number, since it uses less digits than its factorization.

930730705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121145 (or 121124 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The spelling of 930730705920 in words is "nine hundred thirty billion, seven hundred thirty million, seven hundred five thousand, nine hundred twenty".