36664627602456 has 192 divisors, whose sum is σ = 116268220111680. Its totient is φ = 10218828533760.

The previous prime is 36664627602443. The next prime is 36664627602467. The reversal of 36664627602456 is 65420672646663.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 36664627602393 and 36664627602402.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 171755820 + ... + 171969156.

It is an arithmetic number, because the mean of its divisors is an integer number (605563646415).

Almost surely, 2^{36664627602456} is an apocalyptic number.

36664627602456 is a gapful number since it is divisible by the number (36) 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 36664627602456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58134110055840).

36664627602456 is an abundant number, since it is smaller than the sum of its proper divisors (79603592509224).

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

36664627602456 is a wasteful number, since it uses less digits than its factorization.

36664627602456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221714 (or 221707 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 63.

The spelling of 36664627602456 in words is "thirty-six trillion, six hundred sixty-four billion, six hundred twenty-seven million, six hundred two thousand, four hundred fifty-six".