6635040401808 has 960 divisors, whose sum is σ = 25677284048640. Its totient is φ = 1619896320000.

The previous prime is 6635040401789. The next prime is 6635040401861. The reversal of 6635040401808 is 8081040405366.

6635040401808 is a `hidden beast` number, since 6 + 63 + 5 + 0 + 404 + 0 + 180 + 8 = 666.

It is a super-2 number, since 2×6635040401808² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 285354183 + ... + 285377433.

It is an arithmetic number, because the mean of its divisors is an integer number (26747170884).

Almost surely, 2^{6635040401808} is an apocalyptic number.

6635040401808 is a gapful number since it is divisible by the number (68) 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 6635040401808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12838642024320).

6635040401808 is an abundant number, since it is smaller than the sum of its proper divisors (19042243646832).

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

6635040401808 is a wasteful number, since it uses less digits than its factorization.

6635040401808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23373 (or 23354 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 6635040401808 in words is "six trillion, six hundred thirty-five billion, forty million, four hundred one thousand, eight hundred eight".