3180626472960 has 1664 divisors, whose sum is σ = 12799788687360. Its totient is φ = 744933556224.

The previous prime is 3180626472839. The next prime is 3180626472979. The reversal of 3180626472960 is 692746260813.

3180626472960 is a `hidden beast` number, since 3 + 1 + 8 + 0 + 626 + 4 + 7 + 2 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×3180626472960² (a number of 26 digits) contains 22 as substring.

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 = 3180626472897 and 3180626472906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10161745764 + ... + 10161746076.

Almost surely, 2^{3180626472960} is an apocalyptic number.

3180626472960 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 3180626472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399894343680).

3180626472960 is an abundant number, since it is smaller than the sum of its proper divisors (9619162214400).

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

3180626472960 is a wasteful number, since it uses less digits than its factorization.

3180626472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3180626472960 in words is "three trillion, one hundred eighty billion, six hundred twenty-six million, four hundred seventy-two thousand, nine hundred sixty".