4046679000 has 896 divisors, whose sum is σ = 17760113280. Its totient is φ = 839808000.

The previous prime is 4046678971. The next prime is 4046679001. The reversal of 4046679000 is 9766404.

It is a super-2 number, since 2×4046679000² = 32751221858082000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4046679001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 66338970 + ... + 66339030.

It is an arithmetic number, because the mean of its divisors is an integer number (19821555).

Almost surely, 2^4046679000 is an apocalyptic number.

4046679000 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 4046679000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8880056640).

4046679000 is an abundant number, since it is smaller than the sum of its proper divisors (13713434280).

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

4046679000 is a wasteful number, since it uses less digits than its factorization.

4046679000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4046679000 is about 63613.5127154601. The cubic root of 4046679000 is about 1593.5520446177.

The spelling of 4046679000 in words is "four billion, forty-six million, six hundred seventy-nine thousand".