7676871552 has 672 divisors, whose sum is σ = 28214876880. Its totient is φ = 2069286912.

The previous prime is 7676871523. The next prime is 7676871557. The reversal of 7676871552 is 2551786767.

It is a happy number.

7676871552 is a `hidden beast` number, since 7 + 6 + 7 + 6 + 87 + 1 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7676871557) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 105162588 + ... + 105162660.

Almost surely, 2^7676871552 is an apocalyptic number.

7676871552 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 7676871552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14107438440).

7676871552 is an abundant number, since it is smaller than the sum of its proper divisors (20538005328).

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

7676871552 is an equidigital number, since it uses as much as digits as its factorization.

7676871552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The square root of 7676871552 is about 87617.7582000361. The cubic root of 7676871552 is about 1972.7017266833.

The spelling of 7676871552 in words is "seven billion, six hundred seventy-six million, eight hundred seventy-one thousand, five hundred fifty-two".