1644268792320 has 960 divisors, whose sum is σ = 7362884745216. Its totient is φ = 341656289280.

The previous prime is 1644268792319. The next prime is 1644268792351. The reversal of 1644268792320 is 232978624461.

It is a happy number.

1644268792320 is a `hidden beast` number, since 1 + 6 + 442 + 6 + 87 + 92 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×1644268792320³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47882997 + ... + 47917323.

Almost surely, 2^{1644268792320} is an apocalyptic number.

1644268792320 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 1644268792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681442372608).

1644268792320 is an abundant number, since it is smaller than the sum of its proper divisors (5718615952896).

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

1644268792320 is an equidigital number, since it uses as much as digits as its factorization.

1644268792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34383 (or 34355 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1644268792320 in words is "one trillion, six hundred forty-four billion, two hundred sixty-eight million, seven hundred ninety-two thousand, three hundred twenty".