645532654408704 has 1408 divisors, whose sum is σ = 2142477582336000. Its totient is φ = 191181208780800.

The previous prime is 645532654408639. The next prime is 645532654408717. The reversal of 645532654408704 is 407804456235546.

645532654408704 is a `hidden beast` number, since 6 + 4 + 5 + 5 + 3 + 2 + 6 + 544 + 0 + 87 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 68216486277 + ... + 68216495739.

Almost surely, 2^{645532654408704} is an apocalyptic number.

645532654408704 is a gapful number since it is divisible by the number (64) 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 645532654408704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071238791168000).

645532654408704 is an abundant number, since it is smaller than the sum of its proper divisors (1496944927927296).

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

645532654408704 is a wasteful number, since it uses less digits than its factorization.

645532654408704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9672 (or 9648 counting only the distinct ones).

The product of its (nonzero) digits is 387072000, while the sum is 63.

The spelling of 645532654408704 in words is "six hundred forty-five trillion, five hundred thirty-two billion, six hundred fifty-four million, four hundred eight thousand, seven hundred four".