7677440352 has 144 divisors (see below), whose sum is σ = 23050460160. Its totient is φ = 2417216256.

The previous prime is 7677440341. The next prime is 7677440357. The reversal of 7677440352 is 2530447767.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 7677440298 and 7677440307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7677440357) 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, 2006313 + ... + 2010135.

It is an arithmetic number, because the mean of its divisors is an integer number (160072640).

Almost surely, 2^7677440352 is an apocalyptic number.

7677440352 is a gapful number since it is divisible by the number (72) 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 7677440352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11525230080).

7677440352 is an abundant number, since it is smaller than the sum of its proper divisors (15373019808).

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

7677440352 is a wasteful number, since it uses less digits than its factorization.

7677440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The square root of 7677440352 is about 87621.0040572465. The cubic root of 7677440352 is about 1972.7504464005.

The spelling of 7677440352 in words is "seven billion, six hundred seventy-seven million, four hundred forty thousand, three hundred fifty-two".