87674308263936 has 405 divisors, whose sum is σ = 264019288128519. Its totient is φ = 28994653126656.

The previous prime is 87674308263917. The next prime is 87674308263961. The reversal of 87674308263936 is 63936280347678.

The square root of 87674308263936 is 9363456.

It is a perfect power (a square), and thus also a powerful number.

87674308263936 is a `hidden beast` number, since 87 + 6 + 7 + 430 + 8 + 26 + 3 + 93 + 6 = 666.

87674308263936 is digitally balanced in base 3, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 690348883905 + ... + 690348884031.

Almost surely, 2^{87674308263936} is an apocalyptic number.

87674308263936 is the 9363456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87674308263936

87674308263936 is an abundant number, since it is smaller than the sum of its proper divisors (176344979864583).

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

87674308263936 is an frugal number, since it uses more digits than its factorization.

87674308263936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 72.

The spelling of 87674308263936 in words is "eighty-seven trillion, six hundred seventy-four billion, three hundred eight million, two hundred sixty-three thousand, nine hundred thirty-six".