6781091204160 has 1344 divisors, whose sum is σ = 30216265777152. Its totient is φ = 1409282924544.

The previous prime is 6781091204137. The next prime is 6781091204171. The reversal of 6781091204160 is 614021901876.

6781091204160 is a `hidden beast` number, since 6 + 7 + 8 + 109 + 120 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×6781091204160² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 474095569 + ... + 474109871.

It is an arithmetic number, because the mean of its divisors is an integer number (22482340608).

Almost surely, 2^{6781091204160} is an apocalyptic number.

6781091204160 is a gapful number since it is divisible by the number (60) 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 6781091204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15108132888576).

6781091204160 is an abundant number, since it is smaller than the sum of its proper divisors (23435174572992).

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

6781091204160 is a wasteful number, since it uses less digits than its factorization.

6781091204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14422 (or 14400 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 6781091204160 in words is "six trillion, seven hundred eighty-one billion, ninety-one million, two hundred four thousand, one hundred sixty".