4612089680 has 80 divisors (see below), whose sum is σ = 11918772864. Its totient is φ = 1645463040.

The previous prime is 4612089623. The next prime is 4612089721. The reversal of 4612089680 is 869802164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×4612089680³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2804 + ... + 96083.

Almost surely, 2^4612089680 is an apocalyptic number.

4612089680 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 4612089680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959386432).

4612089680 is an abundant number, since it is smaller than the sum of its proper divisors (7306683184).

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

4612089680 is a wasteful number, since it uses less digits than its factorization.

4612089680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98964 (or 98958 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 4612089680 is about 67912.3676512607. The cubic root of 4612089680 is about 1664.5592090076.

The spelling of 4612089680 in words is "four billion, six hundred twelve million, eighty-nine thousand, six hundred eighty".