36677739502144 has 112 divisors (see below), whose sum is σ = 78627391355520. Its totient is φ = 16875036057600.

The previous prime is 36677739502139. The next prime is 36677739502169. The reversal of 36677739502144 is 44120593777663.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526770117 + ... + 526839739.

It is an arithmetic number, because the mean of its divisors is an integer number (702030279960).

Almost surely, 2^{36677739502144} 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 36677739502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39313695677760).

36677739502144 is an abundant number, since it is smaller than the sum of its proper divisors (41949651853376).

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

36677739502144 is a wasteful number, since it uses less digits than its factorization.

36677739502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71628 (or 71618 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 64.

The spelling of 36677739502144 in words is "thirty-six trillion, six hundred seventy-seven billion, seven hundred thirty-nine million, five hundred two thousand, one hundred forty-four".