4632655680 has 280 divisors, whose sum is σ = 16558003968. Its totient is φ = 1229478912.

The previous prime is 4632655673. The next prime is 4632655681. The reversal of 4632655680 is 865562364.

4632655680 is a `hidden beast` number, since 4 + 63 + 26 + 5 + 568 + 0 = 666.

It is a super-2 number, since 2×4632655680² = 42922997298872524800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4632655681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9512397 + ... + 9512883.

Almost surely, 2^4632655680 is an apocalyptic number.

4632655680 is a gapful number since it is divisible by the number (40) 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 4632655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279001984).

4632655680 is an abundant number, since it is smaller than the sum of its proper divisors (11925348288).

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

4632655680 is a wasteful number, since it uses less digits than its factorization.

4632655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 4632655680 is about 68063.6149495455. The cubic root of 4632655680 is about 1667.0297136235.

The spelling of 4632655680 in words is "four billion, six hundred thirty-two million, six hundred fifty-five thousand, six hundred eighty".