1779974347680 has 384 divisors, whose sum is σ = 6397723180800. Its totient is φ = 461931724800.

The previous prime is 1779974347673. The next prime is 1779974347699. The reversal of 1779974347680 is 867434799771.

1779974347680 is a `hidden beast` number, since 1 + 7 + 7 + 9 + 9 + 74 + 3 + 476 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1779974347599 and 1779974347608.

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 63 ways as a sum of consecutive naturals, for example, 72429795 + ... + 72454365.

It is an arithmetic number, because the mean of its divisors is an integer number (16660737450).

Almost surely, 2^{1779974347680} is an apocalyptic number.

1779974347680 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 1779974347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198861590400).

1779974347680 is an abundant number, since it is smaller than the sum of its proper divisors (4617748833120).

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

1779974347680 is a wasteful number, since it uses less digits than its factorization.

1779974347680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25045 (or 25031 counting only the distinct ones).

The product of its (nonzero) digits is 448084224, while the sum is 72.

The spelling of 1779974347680 in words is "one trillion, seven hundred seventy-nine billion, nine hundred seventy-four million, three hundred forty-seven thousand, six hundred eighty".