7677444040 has 64 divisors (see below), whose sum is σ = 19793030400. Its totient is φ = 2625462528.

The previous prime is 7677444029. The next prime is 7677444109. The reversal of 7677444040 is 404447767.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73677 + ... + 144163.

It is an arithmetic number, because the mean of its divisors is an integer number (309266100).

Almost surely, 2^7677444040 is an apocalyptic number.

7677444040 is a gapful number since it is divisible by the number (70) 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 7677444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9896515200).

7677444040 is an abundant number, since it is smaller than the sum of its proper divisors (12115586360).

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

7677444040 is a wasteful number, since it uses less digits than its factorization.

7677444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70894 (or 70890 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 43.

The square root of 7677444040 is about 87621.0251024262. The cubic root of 7677444040 is about 1972.7507622828.

The spelling of 7677444040 in words is "seven billion, six hundred seventy-seven million, four hundred forty-four thousand, forty".