4055672610 has 96 divisors (see below), whose sum is σ = 11594299392. Its totient is φ = 975421440.

The previous prime is 4055672603. The next prime is 4055672633. The reversal of 4055672610 is 162765504.

It is a happy number.

4055672610 is a `hidden beast` number, since 40 + 556 + 7 + 2 + 61 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109602 + ... + 141858.

It is an arithmetic number, because the mean of its divisors is an integer number (120773952).

Almost surely, 2^4055672610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4055672610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797149696).

4055672610 is an abundant number, since it is smaller than the sum of its proper divisors (7538626782).

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

4055672610 is a wasteful number, since it uses less digits than its factorization.

4055672610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32408 (or 32405 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 4055672610 is about 63684.1629449583. The cubic root of 4055672610 is about 1594.7317099999.

The spelling of 4055672610 in words is "four billion, fifty-five million, six hundred seventy-two thousand, six hundred ten".