87974086368 has 384 divisors, whose sum is σ = 282790932480. Its totient is φ = 23390208000.

The previous prime is 87974086363. The next prime is 87974086391. The reversal of 87974086368 is 86368047978.

It is a junction number, because it is equal to n+sod(n) for n = 87974086299 and 87974086308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87974086363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310862355 + ... + 310862637.

It is an arithmetic number, because the mean of its divisors is an integer number (736434720).

Almost surely, 2^87974086368 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 87974086368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141395466240).

87974086368 is an abundant number, since it is smaller than the sum of its proper divisors (194816846112).

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

87974086368 is a wasteful number, since it uses less digits than its factorization.

87974086368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 87974086368 in words is "eighty-seven billion, nine hundred seventy-four million, eighty-six thousand, three hundred sixty-eight".