3564466623120 has 960 divisors, whose sum is σ = 13255214112000. Its totient is φ = 788777533440.

The previous prime is 3564466623073. The next prime is 3564466623163. The reversal of 3564466623120 is 213266644653.

It is a super-2 number, since 2×3564466623120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3564466623120.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1169059356 + ... + 1169062404.

It is an arithmetic number, because the mean of its divisors is an integer number (13807514700).

Almost surely, 2^{3564466623120} is an apocalyptic number.

3564466623120 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 3564466623120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6627607056000).

3564466623120 is an abundant number, since it is smaller than the sum of its proper divisors (9690747488880).

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

3564466623120 is a wasteful number, since it uses less digits than its factorization.

3564466623120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 3564466623120 in words is "three trillion, five hundred sixty-four billion, four hundred sixty-six million, six hundred twenty-three thousand, one hundred twenty".