6772826340 has 240 divisors, whose sum is σ = 24682420224. Its totient is φ = 1522540800.

The previous prime is 6772826329. The next prime is 6772826377. The reversal of 6772826340 is 436282776.

6772826340 is a `hidden beast` number, since 6 + 7 + 7 + 2 + 8 + 2 + 634 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 686845 + ... + 696635.

Almost surely, 2^6772826340 is an apocalyptic number.

6772826340 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 6772826340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12341210112).

6772826340 is an abundant number, since it is smaller than the sum of its proper divisors (17909593884).

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

6772826340 is a wasteful number, since it uses less digits than its factorization.

6772826340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9880 (or 9869 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 6772826340 is about 82297.1830623625. The cubic root of 6772826340 is about 1892.0095028926.

The spelling of 6772826340 in words is "six billion, seven hundred seventy-two million, eight hundred twenty-six thousand, three hundred forty".