635545680 has 480 divisors, whose sum is σ = 2656437120. Its totient is φ = 124293120.

The previous prime is 635545661. The next prime is 635545681. The reversal of 635545680 is 86545536.

It is a happy number.

It is a super-2 number, since 2×635545680² = 807836622733324800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (635545681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37385032 + ... + 37385048.

It is an arithmetic number, because the mean of its divisors is an integer number (5534244).

Almost surely, 2^635545680 is an apocalyptic number.

635545680 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 635545680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328218560).

635545680 is an abundant number, since it is smaller than the sum of its proper divisors (2020891440).

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

635545680 is a wasteful number, since it uses less digits than its factorization.

635545680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 635545680 is about 25210.0313367516. The cubic root of 635545680 is about 859.7699402647.

It can be divided in two parts, 6355456 and 80, that added together give a palindrome (6355536).

The spelling of 635545680 in words is "six hundred thirty-five million, five hundred forty-five thousand, six hundred eighty".