1009919680 has 224 divisors, whose sum is σ = 3175967232. Its totient is φ = 296140800.

The previous prime is 1009919653. The next prime is 1009919707. The reversal of 1009919680 is 869199001.

It is an interprime number because it is at equal distance from previous prime (1009919653) and next prime (1009919707).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417675 + ... + 420085.

Almost surely, 2^1009919680 is an apocalyptic number.

1009919680 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 1009919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587983616).

1009919680 is an abundant number, since it is smaller than the sum of its proper divisors (2166047552).

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

1009919680 is a wasteful number, since it uses less digits than its factorization.

1009919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The square root of 1009919680 is about 31779.2334709319. The cubic root of 1009919680 is about 1003.2956865183.

The spelling of 1009919680 in words is "one billion, nine million, nine hundred nineteen thousand, six hundred eighty".