4635887095680 has 128 divisors (see below), whose sum is σ = 14783798661120. Its totient is φ = 1235658590208.

The previous prime is 4635887095633. The next prime is 4635887095681. The reversal of 4635887095680 is 865907885364.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635887095681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3551209 + ... + 4677911.

It is an arithmetic number, because the mean of its divisors is an integer number (115498427040).

Almost surely, 2^{4635887095680} is an apocalyptic number.

4635887095680 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 4635887095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7391899330560).

4635887095680 is an abundant number, since it is smaller than the sum of its proper divisors (10147911565440).

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

4635887095680 is a wasteful number, since it uses less digits than its factorization.

4635887095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128868 (or 1128856 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 69.

The spelling of 4635887095680 in words is "four trillion, six hundred thirty-five billion, eight hundred eighty-seven million, ninety-five thousand, six hundred eighty".