6772051273680 has 1280 divisors, whose sum is σ = 29644616908800. Its totient is φ = 1397440512000.

The previous prime is 6772051273667. The next prime is 6772051273681. The reversal of 6772051273680 is 863721502776.

It is a happy number.

6772051273680 is a `hidden beast` number, since 6 + 77 + 20 + 512 + 7 + 36 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6772051273681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2034258256 + ... + 2034261584.

It is an arithmetic number, because the mean of its divisors is an integer number (23159856960).

Almost surely, 2^{6772051273680} is an apocalyptic number.

6772051273680 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 6772051273680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14822308454400).

6772051273680 is an abundant number, since it is smaller than the sum of its proper divisors (22872565635120).

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

6772051273680 is a wasteful number, since it uses less digits than its factorization.

6772051273680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 6772051273680 in words is "six trillion, seven hundred seventy-two billion, fifty-one million, two hundred seventy-three thousand, six hundred eighty".