3645619078080 has 448 divisors, whose sum is σ = 13997617643520. Its totient is φ = 785288908800.

The previous prime is 3645619078027. The next prime is 3645619078159. The reversal of 3645619078080 is 808709165463.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 3645619078080.

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 63 ways as a sum of consecutive naturals, for example, 24312135 + ... + 24461625.

It is an arithmetic number, because the mean of its divisors is an integer number (31244682240).

Almost surely, 2^{3645619078080} is an apocalyptic number.

3645619078080 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 3645619078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998808821760).

3645619078080 is an abundant number, since it is smaller than the sum of its proper divisors (10351998565440).

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

3645619078080 is a wasteful number, since it uses less digits than its factorization.

3645619078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149728 (or 149718 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 3645619078080 in words is "three trillion, six hundred forty-five billion, six hundred nineteen million, seventy-eight thousand, eighty".