3645142568640 has 448 divisors, whose sum is σ = 13456047784320. Its totient is φ = 927917752320.

The previous prime is 3645142568629. The next prime is 3645142568653. The reversal of 3645142568640 is 468652415463.

3645142568640 is a `hidden beast` number, since 3 + 6 + 4 + 5 + 14 + 2 + 568 + 64 + 0 = 666.

It is a super-2 number, since 2×3645142568640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16835470 + ... + 17050610.

Almost surely, 2^{3645142568640} is an apocalyptic number.

3645142568640 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 3645142568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728023892160).

3645142568640 is an abundant number, since it is smaller than the sum of its proper divisors (9810905215680).

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

3645142568640 is a wasteful number, since it uses less digits than its factorization.

3645142568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215257 (or 215241 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 3645142568640 in words is "three trillion, six hundred forty-five billion, one hundred forty-two million, five hundred sixty-eight thousand, six hundred forty".