642826720553472 has 1600 divisors, whose sum is σ = 2503906607220480. Its totient is φ = 159438932803584.

The previous prime is 642826720553461. The next prime is 642826720553527. The reversal of 642826720553472 is 274355027628246.

642826720553472 is a `hidden beast` number, since 6 + 4 + 2 + 8 + 2 + 6 + 7 + 2 + 0 + 553 + 4 + 72 = 666.

It is a super-2 number, since 2×642826720553472² (a number of 30 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9823564338 + ... + 9823629774.

Almost surely, 2^{642826720553472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642826720553472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251953303610240).

642826720553472 is an abundant number, since it is smaller than the sum of its proper divisors (1861079886667008).

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

642826720553472 is a wasteful number, since it uses less digits than its factorization.

642826720553472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65643 (or 65618 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 63.

The spelling of 642826720553472 in words is "six hundred forty-two trillion, eight hundred twenty-six billion, seven hundred twenty million, five hundred fifty-three thousand, four hundred seventy-two".