4812670080 has 640 divisors, whose sum is σ = 18767738880. Its totient is φ = 1170505728.

The previous prime is 4812670069. The next prime is 4812670081. The reversal of 4812670080 is 800762184.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (4812670081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37894977 + ... + 37895103.

It is an arithmetic number, because the mean of its divisors is an integer number (29324592).

Almost surely, 2^4812670080 is an apocalyptic number.

4812670080 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 4812670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9383869440).

4812670080 is an abundant number, since it is smaller than the sum of its proper divisors (13955068800).

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

4812670080 is a wasteful number, since it uses less digits than its factorization.

4812670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4812670080 is about 69373.4104682767. The cubic root of 4812670080 is about 1688.3482431780.

The spelling of 4812670080 in words is "four billion, eight hundred twelve million, six hundred seventy thousand, eighty".