36713201463648 has 288 divisors, whose sum is σ = 108480589701120. Its totient is φ = 11765225871360.

The previous prime is 36713201463611. The next prime is 36713201463661. The reversal of 36713201463648 is 84636410231763.

36713201463648 is a `hidden beast` number, since 3 + 6 + 7 + 132 + 0 + 1 + 463 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 36713201463594 and 36713201463603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 921519313 + ... + 921559151.

It is an arithmetic number, because the mean of its divisors is an integer number (376668714240).

Almost surely, 2^{36713201463648} 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 36713201463648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54240294850560).

36713201463648 is an abundant number, since it is smaller than the sum of its proper divisors (71767388237472).

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

36713201463648 is a wasteful number, since it uses less digits than its factorization.

36713201463648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40562 (or 40551 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 36713201463648 in words is "thirty-six trillion, seven hundred thirteen billion, two hundred one million, four hundred sixty-three thousand, six hundred forty-eight".