640858676705280 has 4608 divisors, whose sum is σ = 2760624753868800. Its totient is φ = 140862003609600.

The previous prime is 640858676705267. The next prime is 640858676705297. The reversal of 640858676705280 is 82507676858046.

640858676705280 is a `hidden beast` number, since 6 + 40 + 8 + 58 + 6 + 7 + 6 + 7 + 0 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 640858676705199 and 640858676705208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2047471810404 + ... + 2047471810716.

It is an arithmetic number, because the mean of its divisors is an integer number (599093913600).

Almost surely, 2^{640858676705280} is an apocalyptic number.

640858676705280 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 640858676705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380312376934400).

640858676705280 is an abundant number, since it is smaller than the sum of its proper divisors (2119766077163520).

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

640858676705280 is a wasteful number, since it uses less digits than its factorization.

640858676705280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 640858676705280 in words is "six hundred forty trillion, eight hundred fifty-eight billion, six hundred seventy-six million, seven hundred five thousand, two hundred eighty".