6776399928480 has 1536 divisors, whose sum is σ = 27809395310592. Its totient is φ = 1348868505600.

The previous prime is 6776399928379. The next prime is 6776399928509. The reversal of 6776399928480 is 848299936776.

It is a super-2 number, since 2×6776399928480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 6776399928396 and 6776399928405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10251739350 + ... + 10251740010.

It is an arithmetic number, because the mean of its divisors is an integer number (18105075072).

Almost surely, 2^{6776399928480} is an apocalyptic number.

6776399928480 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 6776399928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904697655296).

6776399928480 is an abundant number, since it is smaller than the sum of its proper divisors (21032995382112).

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

6776399928480 is a wasteful number, since it uses less digits than its factorization.

6776399928480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 78.

The spelling of 6776399928480 in words is "six trillion, seven hundred seventy-six billion, three hundred ninety-nine million, nine hundred twenty-eight thousand, four hundred eighty".