87667748280 has 960 divisors, whose sum is σ = 362307686400. Its totient is φ = 18929272320.

The previous prime is 87667748269. The next prime is 87667748293. The reversal of 87667748280 is 8284776678.

87667748280 is a `hidden beast` number, since 8 + 7 + 6 + 6 + 77 + 482 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 231313131 + ... + 231313509.

It is an arithmetic number, because the mean of its divisors is an integer number (377403840).

Almost surely, 2^87667748280 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 87667748280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181153843200).

87667748280 is an abundant number, since it is smaller than the sum of its proper divisors (274639938120).

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

87667748280 is a wasteful number, since it uses less digits than its factorization.

87667748280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 87667748280 in words is "eighty-seven billion, six hundred sixty-seven million, seven hundred forty-eight thousand, two hundred eighty".