1779849640800 has 1728 divisors, whose sum is σ = 8030366023680. Its totient is φ = 360267264000.

The previous prime is 1779849640799. The next prime is 1779849640813. The reversal of 1779849640800 is 80469489771.

1779849640800 is a `hidden beast` number, since 17 + 7 + 98 + 496 + 40 + 8 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 287 ways as a sum of consecutive naturals, for example, 4054326981 + ... + 4054327419.

It is an arithmetic number, because the mean of its divisors is an integer number (4647202560).

Almost surely, 2^{1779849640800} is an apocalyptic number.

1779849640800 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 1779849640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015183011840).

1779849640800 is an abundant number, since it is smaller than the sum of its proper divisors (6250516382880).

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

1779849640800 is a wasteful number, since it uses less digits than its factorization.

1779849640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 1779849640800 in words is "one trillion, seven hundred seventy-nine billion, eight hundred forty-nine million, six hundred forty thousand, eight hundred".