3640555584576 has 189 divisors, whose sum is σ = 10547625985351. Its totient is φ = 1200559229184.

The previous prime is 3640555584563. The next prime is 3640555584587. The reversal of 3640555584576 is 6754855550463.

The square root of 3640555584576 is 1908024.

It is a perfect power (a square), and thus also a powerful number.

3640555584576 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 5 + 5 + 5 + 58 + 4 + 576 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4899805261 + ... + 4899806003.

Almost surely, 2^{3640555584576} is an apocalyptic number.

3640555584576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3640555584576 is the 1908024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640555584576

3640555584576 is an abundant number, since it is smaller than the sum of its proper divisors (6907070400775).

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

3640555584576 is an frugal number, since it uses more digits than its factorization.

3640555584576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 302400000, while the sum is 63.

The spelling of 3640555584576 in words is "three trillion, six hundred forty billion, five hundred fifty-five million, five hundred eighty-four thousand, five hundred seventy-six".