642525371520 has 256 divisors, whose sum is σ = 2079787311360. Its totient is φ = 168691712000.

The previous prime is 642525371519. The next prime is 642525371549. The reversal of 642525371520 is 25173525246.

It is a super-2 number, since 2×642525371520² (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 31 ways as a sum of consecutive naturals, for example, 111915850 + ... + 111921590.

It is an arithmetic number, because the mean of its divisors is an integer number (8124169185).

Almost surely, 2^642525371520 is an apocalyptic number.

642525371520 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 642525371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039893655680).

642525371520 is an abundant number, since it is smaller than the sum of its proper divisors (1437261939840).

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

642525371520 is a wasteful number, since it uses less digits than its factorization.

642525371520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655 (or 6643 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

Adding to 642525371520 its reverse (25173525246), we get a palindrome (667698896766).

The spelling of 642525371520 in words is "six hundred forty-two billion, five hundred twenty-five million, three hundred seventy-one thousand, five hundred twenty".