635040000000000 has 2475 divisors, whose sum is σ = 2758715751606969. Its totient is φ = 145152000000000.

The previous prime is 635039999999983. The next prime is 635040000000071. The reversal of 635040000000000 is 40536.

It is a happy number.

The square root of 635040000000000 is 25200000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 3652563124224 + 631387436875776 = 1911168^2 + 25127424^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 90719999999997 + ... + 90720000000003.

Almost surely, 2^{635040000000000} is an apocalyptic number.

635040000000000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

635040000000000 is the 25200000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 635040000000000

635040000000000 is an abundant number, since it is smaller than the sum of its proper divisors (2123675751606969).

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

635040000000000 is an frugal number, since it uses more digits than its factorization.

635040000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 635040000000000 its reverse (40536), we get a palindrome (635040000040536).

The spelling of 635040000000000 in words is "six hundred thirty-five trillion, forty billion", and thus it is an aban number.