4478760000 has 1120 divisors, whose sum is σ = 19996099200. Its totient is φ = 967680000.

The previous prime is 4478759983. The next prime is 4478760019. The reversal of 4478760000 is 678744.

It is a happy number.

4478760000 is a `hidden beast` number, since 4 + 47 + 8 + 7 + 600 + 0 + 0 = 666.

It is a super-2 number, since 2×4478760000² = 40118582275200000000, which contains 22 as substring.

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

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 159 ways as a sum of consecutive naturals, for example, 154439986 + ... + 154440014.

It is an arithmetic number, because the mean of its divisors is an integer number (17853660).

Almost surely, 2^4478760000 is an apocalyptic number.

4478760000 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 4478760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998049600).

4478760000 is an abundant number, since it is smaller than the sum of its proper divisors (15517339200).

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

4478760000 is a wasteful number, since it uses less digits than its factorization.

4478760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4478760000 is about 66923.5384599470. The cubic root of 4478760000 is about 1648.3620108360.

The spelling of 4478760000 in words is "four billion, four hundred seventy-eight million, seven hundred sixty thousand".