7701677568 has 240 divisors, whose sum is σ = 24241417200. Its totient is φ = 2339684352.

The previous prime is 7701677561. The next prime is 7701677587. The reversal of 7701677568 is 8657761077.

7701677568 is a `hidden beast` number, since 7 + 7 + 0 + 1 + 6 + 77 + 568 = 666.

It is a super-2 number, since 2×7701677568² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7701677561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4971258 + ... + 4972806.

It is an arithmetic number, because the mean of its divisors is an integer number (101005905).

Almost surely, 2^7701677568 is an apocalyptic number.

7701677568 is a gapful number since it is divisible by the number (78) 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 7701677568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120708600).

7701677568 is an abundant number, since it is smaller than the sum of its proper divisors (16539739632).

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

7701677568 is a wasteful number, since it uses less digits than its factorization.

7701677568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The square root of 7701677568 is about 87759.2021841584. The cubic root of 7701677568 is about 1974.8242170528.

The spelling of 7701677568 in words is "seven billion, seven hundred one million, six hundred seventy-seven thousand, five hundred sixty-eight".