3625272668160 has 2496 divisors, whose sum is σ = 16106174300160. Its totient is φ = 762500874240.

The previous prime is 3625272668137. The next prime is 3625272668257. The reversal of 3625272668160 is 618662725263.

3625272668160 is a `hidden beast` number, since 3 + 625 + 2 + 7 + 2 + 6 + 6 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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 = 3625272668097 and 3625272668106.

It is a congruent number.

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, 28545454017 + ... + 28545454143.

Almost surely, 2^{3625272668160} is an apocalyptic number.

3625272668160 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 3625272668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053087150080).

3625272668160 is an abundant number, since it is smaller than the sum of its proper divisors (12480901632000).

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

3625272668160 is a wasteful number, since it uses less digits than its factorization.

3625272668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3625272668160 in words is "three trillion, six hundred twenty-five billion, two hundred seventy-two million, six hundred sixty-eight thousand, one hundred sixty".