3646713560160 has 384 divisors, whose sum is σ = 13219399065600. Its totient is φ = 835718584320.

The previous prime is 3646713560123. The next prime is 3646713560167. The reversal of 3646713560160 is 610653176463.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3646713560167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46810521 + ... + 46888359.

It is an arithmetic number, because the mean of its divisors is an integer number (34425518400).

Almost surely, 2^{3646713560160} is an apocalyptic number.

3646713560160 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 3646713560160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609699532800).

3646713560160 is an abundant number, since it is smaller than the sum of its proper divisors (9572685505440).

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

3646713560160 is a wasteful number, since it uses less digits than its factorization.

3646713560160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78354 (or 78346 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 3646713560160 in words is "three trillion, six hundred forty-six billion, seven hundred thirteen million, five hundred sixty thousand, one hundred sixty".