3009967260480 has 672 divisors, whose sum is σ = 11206118596608. Its totient is φ = 739365580800.

The previous prime is 3009967260479. The next prime is 3009967260491. The reversal of 3009967260480 is 840627699003.

It is a happy number.

3009967260480 is a `hidden beast` number, since 3 + 0 + 0 + 9 + 96 + 72 + 6 + 0 + 480 = 666.

It is a super-2 number, since 2×3009967260480² (a number of 26 digits) contains 22 as substring.

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, 433272367 + ... + 433279313.

Almost surely, 2^{3009967260480} is an apocalyptic number.

3009967260480 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 3009967260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603059298304).

3009967260480 is an abundant number, since it is smaller than the sum of its proper divisors (8196151336128).

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

3009967260480 is a wasteful number, since it uses less digits than its factorization.

3009967260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3009967260480 in words is "three trillion, nine billion, nine hundred sixty-seven million, two hundred sixty thousand, four hundred eighty".