2675064411360 has 1728 divisors, whose sum is σ = 11459744884224. Its totient is φ = 583195852800.

The previous prime is 2675064411353. The next prime is 2675064411361. The reversal of 2675064411360 is 631144605762.

2675064411360 is a `hidden beast` number, since 2 + 6 + 7 + 506 + 4 + 4 + 1 + 136 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2675064411361) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2842788490 + ... + 2842789430.

It is an arithmetic number, because the mean of its divisors is an integer number (6631796808).

Almost surely, 2^{2675064411360} is an apocalyptic number.

2675064411360 is a gapful number since it is divisible by the number (20) 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 2675064411360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729872442112).

2675064411360 is an abundant number, since it is smaller than the sum of its proper divisors (8784680472864).

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

2675064411360 is a wasteful number, since it uses less digits than its factorization.

2675064411360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2675064411360 in words is "two trillion, six hundred seventy-five billion, sixty-four million, four hundred eleven thousand, three hundred sixty".