1930725720 has 640 divisors, whose sum is σ = 8279884800. Its totient is φ = 391910400.

The previous prime is 1930725703. The next prime is 1930725743. The reversal of 1930725720 is 275270391.

1930725720 is a `hidden beast` number, since 19 + 3 + 0 + 72 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17713026 + ... + 17713134.

It is an arithmetic number, because the mean of its divisors is an integer number (12937320).

Almost surely, 2^1930725720 is an apocalyptic number.

1930725720 is a gapful number since it is divisible by the number (10) 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 1930725720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139942400).

1930725720 is an abundant number, since it is smaller than the sum of its proper divisors (6349159080).

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

1930725720 is a wasteful number, since it uses less digits than its factorization.

1930725720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1930725720 is about 43940.0241237986. The cubic root of 1930725720 is about 1245.2031022985.

The spelling of 1930725720 in words is "one billion, nine hundred thirty million, seven hundred twenty-five thousand, seven hundred twenty".