635796480 has 352 divisors, whose sum is σ = 2292115968. Its totient is φ = 149094400.

The previous prime is 635796479. The next prime is 635796529. The reversal of 635796480 is 84697536.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8954845 + ... + 8954915.

Almost surely, 2^635796480 is an apocalyptic number.

635796480 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 635796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146057984).

635796480 is an abundant number, since it is smaller than the sum of its proper divisors (1656319488).

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

635796480 is a wasteful number, since it uses less digits than its factorization.

635796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 635796480 is about 25215.0050565135. The cubic root of 635796480 is about 859.8830199640.

The spelling of 635796480 in words is "six hundred thirty-five million, seven hundred ninety-six thousand, four hundred eighty".