1642263652224 has 640 divisors, whose sum is σ = 5544587220480. Its totient is φ = 478727884800.

The previous prime is 1642263652171. The next prime is 1642263652303. The reversal of 1642263652224 is 4222563622461.

1642263652224 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 2 + 636 + 5 + 2 + 2 + 2 + 4 = 666.

It is a super-2 number, since 2×1642263652224² (a number of 25 digits) contains 22 as substring.

Its product of digits (1658880) is a multiple of the sum of its prime factors (5120).

It is a self number, because there is not a number n which added to its sum of digits gives 1642263652224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 331700949 + ... + 331705899.

It is an arithmetic number, because the mean of its divisors is an integer number (8663417532).

Almost surely, 2^{1642263652224} 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 1642263652224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772293610240).

1642263652224 is an abundant number, since it is smaller than the sum of its proper divisors (3902323568256).

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

1642263652224 is a wasteful number, since it uses less digits than its factorization.

1642263652224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 5099 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 1642263652224 in words is "one trillion, six hundred forty-two billion, two hundred sixty-three million, six hundred fifty-two thousand, two hundred twenty-four".