645912672768000 has 4160 divisors, whose sum is σ = 2857936852083456. Its totient is φ = 143327232000000.

The previous prime is 645912672767909. The next prime is 645912672768127. The reversal of 645912672768000 is 867276219546.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 286944766875 + ... + 286944769125.

Almost surely, 2^{645912672768000} is an apocalyptic number.

645912672768000 is a gapful number since it is divisible by the number (60) 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 645912672768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428968426041728).

645912672768000 is an abundant number, since it is smaller than the sum of its proper divisors (2212024179315456).

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

645912672768000 is a wasteful number, since it uses less digits than its factorization.

645912672768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 645912672768000 in words is "six hundred forty-five trillion, nine hundred twelve billion, six hundred seventy-two million, seven hundred sixty-eight thousand".