36347341670640 has 1920 divisors, whose sum is σ = 168678867861504. Its totient is φ = 6770469888000.

The previous prime is 36347341670621. The next prime is 36347341670663. The reversal of 36347341670640 is 4607614374363.

36347341670640 is a `hidden beast` number, since 3 + 6 + 3 + 473 + 4 + 167 + 0 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×36347341670640² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4437468945 + ... + 4437477135.

Almost surely, 2^{36347341670640} is an apocalyptic number.

36347341670640 is a gapful number since it is divisible by the number (30) 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 36347341670640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84339433930752).

36347341670640 is an abundant number, since it is smaller than the sum of its proper divisors (132331526190864).

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

36347341670640 is a wasteful number, since it uses less digits than its factorization.

36347341670640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8419 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 36347341670640 in words is "thirty-six trillion, three hundred forty-seven billion, three hundred forty-one million, six hundred seventy thousand, six hundred forty".