87663730000 has 800 divisors, whose sum is σ = 289341980928. Its totient is φ = 24883200000.

The previous prime is 87663729991. The next prime is 87663730003. The reversal of 87663730000 is 3736678.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87663730003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 484329910 + ... + 484330090.

Almost surely, 2^87663730000 is an apocalyptic number.

87663730000 is a gapful number since it is divisible by the number (80) 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 87663730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144670990464).

87663730000 is an abundant number, since it is smaller than the sum of its proper divisors (201678250928).

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

87663730000 is a wasteful number, since it uses less digits than its factorization.

87663730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 87663730000 in words is "eighty-seven billion, six hundred sixty-three million, seven hundred thirty thousand".