2645296625664 has 1728 divisors, whose sum is σ = 10277131737600. Its totient is φ = 640177274880.

The previous prime is 2645296625651. The next prime is 2645296625677. The reversal of 2645296625664 is 4665266925462.

2645296625664 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 2 + 9 + 6 + 62 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2645296625651) and next prime (2645296625677).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19030910907 + ... + 19030911045.

It is an arithmetic number, because the mean of its divisors is an integer number (5947414200).

Almost surely, 2^{2645296625664} is an apocalyptic number.

2645296625664 is a gapful number since it is divisible by the number (24) 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 2645296625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138565868800).

2645296625664 is an abundant number, since it is smaller than the sum of its proper divisors (7631835111936).

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

2645296625664 is a wasteful number, since it uses less digits than its factorization.

2645296625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 238 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 63.

The spelling of 2645296625664 in words is "two trillion, six hundred forty-five billion, two hundred ninety-six million, six hundred twenty-five thousand, six hundred sixty-four".