3009983746560 has 640 divisors, whose sum is σ = 11088421724160. Its totient is φ = 682318626816.

The previous prime is 3009983746547. The next prime is 3009983746619. The reversal of 3009983746560 is 656473899003.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3009983746494 and 3009983746503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5075857624 + ... + 5075858216.

It is an arithmetic number, because the mean of its divisors is an integer number (17325658944).

Almost surely, 2^{3009983746560} is an apocalyptic number.

3009983746560 is a gapful number since it is divisible by the number (30) 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 3009983746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544210862080).

3009983746560 is an abundant number, since it is smaller than the sum of its proper divisors (8078437977600).

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

3009983746560 is a wasteful number, since it uses less digits than its factorization.

3009983746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 3009983746560 in words is "three trillion, nine billion, nine hundred eighty-three million, seven hundred forty-six thousand, five hundred sixty".