6774929268480 has 864 divisors, whose sum is σ = 24989687993088. Its totient is φ = 1756355788800.

The previous prime is 6774929268467. The next prime is 6774929268517. The reversal of 6774929268480 is 848629294776.

6774929268480 is a `hidden beast` number, since 6 + 7 + 7 + 492 + 92 + 6 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 6774929268399 and 6774929268408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4425165315 + ... + 4425166845.

It is an arithmetic number, because the mean of its divisors is an integer number (28923249992).

Almost surely, 2^{6774929268480} is an apocalyptic number.

6774929268480 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 6774929268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12494843996544).

6774929268480 is an abundant number, since it is smaller than the sum of its proper divisors (18214758724608).

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

6774929268480 is a wasteful number, since it uses less digits than its factorization.

6774929268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 6774929268480 in words is "six trillion, seven hundred seventy-four billion, nine hundred twenty-nine million, two hundred sixty-eight thousand, four hundred eighty".