36887656587264 has 2240 divisors, whose sum is σ = 146610916531200. Its totient is φ = 8980311048192.

The previous prime is 36887656587251. The next prime is 36887656587373. The reversal of 36887656587264 is 46278565678863.

36887656587264 is a `hidden beast` number, since 3 + 6 + 8 + 8 + 7 + 6 + 5 + 6 + 587 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34506694122 + ... + 34506695190.

Almost surely, 2^{36887656587264} is an apocalyptic number.

36887656587264 is a gapful number since it is divisible by the number (34) 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 36887656587264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73305458265600).

36887656587264 is an abundant number, since it is smaller than the sum of its proper divisors (109723259943936).

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

36887656587264 is a wasteful number, since it uses less digits than its factorization.

36887656587264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1140 counting only the distinct ones).

The product of its digits is 19508428800, while the sum is 81.

The spelling of 36887656587264 in words is "thirty-six trillion, eight hundred eighty-seven billion, six hundred fifty-six million, five hundred eighty-seven thousand, two hundred sixty-four".