1645179766272 has 560 divisors, whose sum is σ = 5827024859040. Its totient is φ = 453821792256.

The previous prime is 1645179766247. The next prime is 1645179766291. The reversal of 1645179766272 is 2726679715461.

1645179766272 is a `hidden beast` number, since 1 + 6 + 4 + 517 + 97 + 6 + 6 + 27 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 75758488 + ... + 75780200.

It is an arithmetic number, because the mean of its divisors is an integer number (10405401534).

Almost surely, 2^{1645179766272} is an apocalyptic number.

1645179766272 is a gapful number since it is divisible by the number (12) 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 1645179766272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913512429520).

1645179766272 is an abundant number, since it is smaller than the sum of its proper divisors (4181845092768).

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

1645179766272 is an frugal number, since it uses more digits than its factorization.

1645179766272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21785 (or 21754 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 1645179766272 in words is "one trillion, six hundred forty-five billion, one hundred seventy-nine million, seven hundred sixty-six thousand, two hundred seventy-two".