1642641960960 has 2496 divisors, whose sum is σ = 7934193146880. Its totient is φ = 303216721920.

The previous prime is 1642641960929. The next prime is 1642641960961. The reversal of 1642641960960 is 690691462461.

1642641960960 is a `hidden beast` number, since 1 + 6 + 4 + 26 + 4 + 1 + 9 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×1642641960960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1642641960897 and 1642641960906.

It is not an unprimeable number, because it can be changed into a prime (1642641960961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5350625127 + ... + 5350625433.

It is an arithmetic number, because the mean of its divisors is an integer number (3178763280).

Almost surely, 2^{1642641960960} is an apocalyptic number.

1642641960960 is a gapful number since it is divisible by the number (10) 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 1642641960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967096573440).

1642641960960 is an abundant number, since it is smaller than the sum of its proper divisors (6291551185920).

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

1642641960960 is a wasteful number, since it uses less digits than its factorization.

1642641960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1642641960960 in words is "one trillion, six hundred forty-two billion, six hundred forty-one million, nine hundred sixty thousand, nine hundred sixty".