1999724760 has 384 divisors, whose sum is σ = 7500729600. Its totient is φ = 475061760.

The previous prime is 1999724723. The next prime is 1999724777. The reversal of 1999724760 is 674279991.

1999724760 is a `hidden beast` number, since 19 + 99 + 72 + 476 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1999724697 and 1999724706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6308122 + ... + 6308438.

It is an arithmetic number, because the mean of its divisors is an integer number (19533150).

Almost surely, 2^1999724760 is an apocalyptic number.

1999724760 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 1999724760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750364800).

1999724760 is an abundant number, since it is smaller than the sum of its proper divisors (5501004840).

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

1999724760 is a wasteful number, since it uses less digits than its factorization.

1999724760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 1999724760 is about 44718.2821673642. The cubic root of 1999724760 is about 1259.8632504650.

The spelling of 1999724760 in words is "one billion, nine hundred ninety-nine million, seven hundred twenty-four thousand, seven hundred sixty".