642451544013180 has 288 divisors, whose sum is σ = 2098881677781504. Its totient is φ = 145340746496000.

The previous prime is 642451544013137. The next prime is 642451544013239. The reversal of 642451544013180 is 81310445154246.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12929170 + ... + 38105990.

It is an arithmetic number, because the mean of its divisors is an integer number (7287783603408).

Almost surely, 2^{642451544013180} is an apocalyptic number.

642451544013180 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 642451544013180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049440838890752).

642451544013180 is an abundant number, since it is smaller than the sum of its proper divisors (1456430133768324).

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

642451544013180 is a wasteful number, since it uses less digits than its factorization.

642451544013180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25176949 (or 25176906 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 642451544013180 in words is "six hundred forty-two trillion, four hundred fifty-one billion, five hundred forty-four million, thirteen thousand, one hundred eighty".