1779944865408 has 640 divisors, whose sum is σ = 5663830194000. Its totient is φ = 553816424448.

The previous prime is 1779944865373. The next prime is 1779944865421. The reversal of 1779944865408 is 8045684499771.

1779944865408 is a `hidden beast` number, since 1 + 7 + 7 + 9 + 94 + 486 + 54 + 0 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1139957665344 + 639987200064 = 1067688^2 + 799992^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2147098338 + ... + 2147099166.

Almost surely, 2^{1779944865408} is an apocalyptic number.

1779944865408 is a gapful number since it is divisible by the number (18) 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 1779944865408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831915097000).

1779944865408 is an abundant number, since it is smaller than the sum of its proper divisors (3883885328592).

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

1779944865408 is a wasteful number, since it uses less digits than its factorization.

1779944865408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 1779944865408 in words is "one trillion, seven hundred seventy-nine billion, nine hundred forty-four million, eight hundred sixty-five thousand, four hundred eight".