7871677632 has 448 divisors, whose sum is σ = 28798479360. Its totient is φ = 2053029888.

The previous prime is 7871677621. The next prime is 7871677643. The reversal of 7871677632 is 2367761787.

It is an interprime number because it is at equal distance from previous prime (7871677621) and next prime (7871677643).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17768803 + ... + 17769245.

It is an arithmetic number, because the mean of its divisors is an integer number (64282320).

Almost surely, 2^7871677632 is an apocalyptic number.

7871677632 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 7871677632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399239680).

7871677632 is an abundant number, since it is smaller than the sum of its proper divisors (20926801728).

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

7871677632 is a wasteful number, since it uses less digits than its factorization.

7871677632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 581 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The square root of 7871677632 is about 88722.4753486962. The cubic root of 7871677632 is about 1989.2487785116.

The spelling of 7871677632 in words is "seven billion, eight hundred seventy-one million, six hundred seventy-seven thousand, six hundred thirty-two".