4678041600 has 540 divisors, whose sum is σ = 17747655744. Its totient is φ = 1220935680.

The previous prime is 4678041587. The next prime is 4678041637. The reversal of 4678041600 is 61408764.

4678041600 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 0 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×4678041600² = 43768146422661120000, 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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99532777 + ... + 99532823.

Almost surely, 2^4678041600 is an apocalyptic number.

4678041600 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 4678041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8873827872).

4678041600 is an abundant number, since it is smaller than the sum of its proper divisors (13069614144).

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

4678041600 is an frugal number, since it uses more digits than its factorization.

4678041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4678041600 is about 68396.2104213384. The cubic root of 4678041600 is about 1672.4559702057.

The spelling of 4678041600 in words is "four billion, six hundred seventy-eight million, forty-one thousand, six hundred".