6770687616 has 576 divisors, whose sum is σ = 25480203840. Its totient is φ = 1751777280.

The previous prime is 6770687579. The next prime is 6770687617. The reversal of 6770687616 is 6167860776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (6770687617) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26344960 + ... + 26345216.

It is an arithmetic number, because the mean of its divisors is an integer number (44236465).

Almost surely, 2^6770687616 is an apocalyptic number.

6770687616 is a gapful number since it is divisible by the number (66) 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 6770687616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12740101920).

6770687616 is an abundant number, since it is smaller than the sum of its proper divisors (18709516224).

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

6770687616 is a wasteful number, since it uses less digits than its factorization.

6770687616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 6770687616 is about 82284.1881287043. The cubic root of 6770687616 is about 1891.8103289221.

The spelling of 6770687616 in words is "six billion, seven hundred seventy million, six hundred eighty-seven thousand, six hundred sixteen".