642142980 has 144 divisors (see below), whose sum is σ = 2052610560. Its totient is φ = 162176256.

The previous prime is 642142939. The next prime is 642142993. The reversal of 642142980 is 89241246.

642142980 is a `hidden beast` number, since 642 + 1 + 4 + 2 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450549 + ... + 451971.

It is an arithmetic number, because the mean of its divisors is an integer number (14254240).

Almost surely, 2^642142980 is an apocalyptic number.

642142980 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 642142980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026305280).

642142980 is an abundant number, since it is smaller than the sum of its proper divisors (1410467580).

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

642142980 is a wasteful number, since it uses less digits than its factorization.

642142980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 642142980 is about 25340.5402468061. The cubic root of 642142980 is about 862.7346607876.

The spelling of 642142980 in words is "six hundred forty-two million, one hundred forty-two thousand, nine hundred eighty".