87681763008 has 672 divisors, whose sum is σ = 321229939200. Its totient is φ = 22909962240.

The previous prime is 87681763007. The next prime is 87681763009. The reversal of 87681763008 is 80036718678.

It is an interprime number because it is at equal distance from previous prime (87681763007) and next prime (87681763009).

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 not an unprimeable number, because it can be changed into a prime (87681763007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220860666 + ... + 220861062.

Almost surely, 2^87681763008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87681763008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160614969600).

87681763008 is an abundant number, since it is smaller than the sum of its proper divisors (233548176192).

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

87681763008 is a wasteful number, since it uses less digits than its factorization.

87681763008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 87681763008 in words is "eighty-seven billion, six hundred eighty-one million, seven hundred sixty-three thousand, eight".