87767042414688 has 4608 divisors, whose sum is σ = 371318068961280. Its totient is φ = 19865154355200.

The previous prime is 87767042414659. The next prime is 87767042414707. The reversal of 87767042414688 is 88641424076778.

It is a happy number.

87767042414688 is a `hidden beast` number, since 8 + 7 + 76 + 70 + 4 + 24 + 1 + 468 + 8 = 666.

87767042414688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 581238691413 + ... + 581238691563.

It is an arithmetic number, because the mean of its divisors is an integer number (80581178160).

Almost surely, 2^{87767042414688} 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 87767042414688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185659034480640).

87767042414688 is an abundant number, since it is smaller than the sum of its proper divisors (283551026546592).

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

87767042414688 is a wasteful number, since it uses less digits than its factorization.

87767042414688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 809238528, while the sum is 72.

The spelling of 87767042414688 in words is "eighty-seven trillion, seven hundred sixty-seven billion, forty-two million, four hundred fourteen thousand, six hundred eighty-eight".