633142025015640 has 256 divisors, whose sum is σ = 2175584598097920. Its totient is φ = 144397586511360.

The previous prime is 633142025015639. The next prime is 633142025015663. The reversal of 633142025015640 is 46510520241336.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 633142025015592 and 633142025015601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1190246769 + ... + 1190778591.

It is an arithmetic number, because the mean of its divisors is an integer number (8498377336320).

Almost surely, 2^{633142025015640} is an apocalyptic number.

633142025015640 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 633142025015640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087792299048960).

633142025015640 is an abundant number, since it is smaller than the sum of its proper divisors (1542442573082280).

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

633142025015640 is a wasteful number, since it uses less digits than its factorization.

633142025015640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534982 (or 534978 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 633142025015640 its reverse (46510520241336), we get a palindrome (679652545256976).

The spelling of 633142025015640 in words is "six hundred thirty-three trillion, one hundred forty-two billion, twenty-five million, fifteen thousand, six hundred forty".