4167606420 has 72 divisors (see below), whose sum is σ = 12732763680. Its totient is φ = 1103359680.

The previous prime is 4167606367. The next prime is 4167606431. The reversal of 4167606420 is 246067614.

4167606420 is a `hidden beast` number, since 4 + 1 + 6 + 7 + 6 + 0 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 58266 + ... + 108305.

It is an arithmetic number, because the mean of its divisors is an integer number (176843940).

Almost surely, 2^4167606420 is an apocalyptic number.

It is an amenable number.

4167606420 is an abundant number, since it is smaller than the sum of its proper divisors (8565157260).

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

4167606420 is a wasteful number, since it uses less digits than its factorization.

4167606420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166725 (or 166720 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4167606420 is about 64557.0013244110. The cubic root of 4167606420 is about 1609.2699414978.

The spelling of 4167606420 in words is "four billion, one hundred sixty-seven million, six hundred six thousand, four hundred twenty".