642581786880 has 2160 divisors, whose sum is σ = 2813629053312. Its totient is φ = 139168972800.

The previous prime is 642581786827. The next prime is 642581786933. The reversal of 642581786880 is 88687185246.

642581786880 is a `hidden beast` number, since 6 + 42 + 581 + 7 + 8 + 6 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (642581786827) and next prime (642581786933).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×642581786880² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4905204415 + ... + 4905204545.

Almost surely, 2^642581786880 is an apocalyptic number.

642581786880 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 642581786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406814526656).

642581786880 is an abundant number, since it is smaller than the sum of its proper divisors (2171047266432).

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

642581786880 is a wasteful number, since it uses less digits than its factorization.

642581786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 642581786880 in words is "six hundred forty-two billion, five hundred eighty-one million, seven hundred eighty-six thousand, eight hundred eighty".