6772646160 has 240 divisors, whose sum is σ = 26061784320. Its totient is φ = 1544002560.

The previous prime is 6772646143. The next prime is 6772646161. The reversal of 6772646160 is 616462776.

It is a happy number.

6772646160 is a `hidden beast` number, since 6 + 7 + 7 + 26 + 4 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (6772646161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2211030 + ... + 2214090.

It is an arithmetic number, because the mean of its divisors is an integer number (108590768).

Almost surely, 2^6772646160 is an apocalyptic number.

6772646160 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 6772646160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13030892160).

6772646160 is an abundant number, since it is smaller than the sum of its proper divisors (19289138160).

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

6772646160 is a wasteful number, since it uses less digits than its factorization.

6772646160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6772646160 is about 82296.0883639071. The cubic root of 6772646160 is about 1891.9927248013.

The spelling of 6772646160 in words is "six billion, seven hundred seventy-two million, six hundred forty-six thousand, one hundred sixty".