645170414688 has 240 divisors, whose sum is σ = 2028947193504. Its totient is φ = 200400998400.

The previous prime is 645170414657. The next prime is 645170414701. The reversal of 645170414688 is 886414071546.

645170414688 is a `hidden beast` number, since 6 + 4 + 5 + 170 + 4 + 1 + 468 + 8 = 666.

It is a super-2 number, since 2×645170414688² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4377981 + ... + 4522947.

Almost surely, 2^645170414688 is an apocalyptic number.

645170414688 is a gapful number since it is divisible by the number (68) 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 645170414688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014473596752).

645170414688 is an abundant number, since it is smaller than the sum of its proper divisors (1383776778816).

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

645170414688 is a wasteful number, since it uses less digits than its factorization.

645170414688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145107 (or 145090 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 645170414688 in words is "six hundred forty-five billion, one hundred seventy million, four hundred fourteen thousand, six hundred eighty-eight".