642101100480 has 448 divisors, whose sum is σ = 2620768911360. Its totient is φ = 146764846080.

The previous prime is 642101100391. The next prime is 642101100481. The reversal of 642101100480 is 84001101246.

It is a happy number.

642101100480 is a `hidden beast` number, since 64 + 2 + 10 + 110 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642101100481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4833345 + ... + 4964415.

Almost surely, 2^642101100480 is an apocalyptic number.

642101100480 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 642101100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310384455680).

642101100480 is an abundant number, since it is smaller than the sum of its proper divisors (1978667810880).

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

642101100480 is an equidigital number, since it uses as much as digits as its factorization.

642101100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131116 (or 131088 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 642101100480 in words is "six hundred forty-two billion, one hundred one million, one hundred thousand, four hundred eighty".