36673414356352 has 128 divisors (see below), whose sum is σ = 73972566512640. Its totient is φ = 18109172809728.

The previous prime is 36673414356281. The next prime is 36673414356353. The reversal of 36673414356352 is 25365341437663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36673414356353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10682612428 + ... + 10682615860.

It is an arithmetic number, because the mean of its divisors is an integer number (577910675880).

Almost surely, 2^{36673414356352} is an apocalyptic number.

36673414356352 is a gapful number since it is divisible by the number (32) 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 36673414356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36986283256320).

36673414356352 is an abundant number, since it is smaller than the sum of its proper divisors (37299152156288).

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

36673414356352 is a wasteful number, since it uses less digits than its factorization.

36673414356352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6388 (or 6376 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 58.

The spelling of 36673414356352 in words is "thirty-six trillion, six hundred seventy-three billion, four hundred fourteen million, three hundred fifty-six thousand, three hundred fifty-two".