1645267680 has 384 divisors, whose sum is σ = 6746664960. Its totient is φ = 366612480.

The previous prime is 1645267553. The next prime is 1645267693. The reversal of 1645267680 is 867625461.

1645267680 is a `hidden beast` number, since 1 + 64 + 526 + 7 + 68 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1239177 + ... + 1240503.

It is an arithmetic number, because the mean of its divisors is an integer number (17569440).

Almost surely, 2^1645267680 is an apocalyptic number.

1645267680 is a gapful number since it is divisible by the number (10) 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 1645267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373332480).

1645267680 is an abundant number, since it is smaller than the sum of its proper divisors (5101397280).

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

1645267680 is a wasteful number, since it uses less digits than its factorization.

1645267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1645267680 is about 40561.8993638118. The cubic root of 1645267680 is about 1180.5349676178.

The spelling of 1645267680 in words is "one billion, six hundred forty-five million, two hundred sixty-seven thousand, six hundred eighty".