642913374465180 has 576 divisors, whose sum is σ = 2477868065906688. Its totient is φ = 131259633960960.

The previous prime is 642913374465161. The next prime is 642913374465247. The reversal of 642913374465180 is 81564473319246.

642913374465180 is a `hidden beast` number, since 6 + 4 + 2 + 9 + 1 + 3 + 3 + 7 + 446 + 5 + 180 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6025771914 + ... + 6025878606.

It is an arithmetic number, because the mean of its divisors is an integer number (4301854281088).

It is a 2-persistent number, because it is pandigital, and so is 2⋅642913374465180 = 1285826748930360, but 3⋅642913374465180 = 1928740123395540 is not.

Almost surely, 2^{642913374465180} is an apocalyptic number.

642913374465180 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 642913374465180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238934032953344).

642913374465180 is an abundant number, since it is smaller than the sum of its proper divisors (1834954691441508).

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

642913374465180 is a wasteful number, since it uses less digits than its factorization.

642913374465180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118626 (or 118621 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 642913374465180 in words is "six hundred forty-two trillion, nine hundred thirteen billion, three hundred seventy-four million, four hundred sixty-five thousand, one hundred eighty".