642563278910280 has 512 divisors, whose sum is σ = 2637711148262400. Its totient is φ = 135493865275392.

The previous prime is 642563278910263. The next prime is 642563278910323. The reversal of 642563278910280 is 82019872365246.

642563278910280 is a `hidden beast` number, since 6 + 4 + 2 + 56 + 327 + 89 + 102 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164854794 + ... + 168707526.

It is an arithmetic number, because the mean of its divisors is an integer number (5151779586450).

It is a 1-persistent number, because it is pandigital, but 2⋅642563278910280 = 1285126557820560 is not.

Almost surely, 2^{642563278910280} is an apocalyptic number.

642563278910280 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 642563278910280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318855574131200).

642563278910280 is an abundant number, since it is smaller than the sum of its proper divisors (1995147869352120).

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

642563278910280 is a wasteful number, since it uses less digits than its factorization.

642563278910280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854470 (or 3854460 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 642563278910280 in words is "six hundred forty-two trillion, five hundred sixty-three billion, two hundred seventy-eight million, nine hundred ten thousand, two hundred eighty".