4712590080 has 216 divisors, whose sum is σ = 17787828240. Its totient is φ = 1142415360.

The previous prime is 4712590079. The next prime is 4712590087. The reversal of 4712590080 is 800952174.

4712590080 is a `hidden beast` number, since 471 + 25 + 90 + 0 + 80 = 666.

It is a super-2 number, since 2×4712590080² = 44417010524228812800, which contains 22 as substring.

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 (4712590087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108126 + ... + 145314.

Almost surely, 2^4712590080 is an apocalyptic number.

4712590080 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 4712590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8893914120).

4712590080 is an abundant number, since it is smaller than the sum of its proper divisors (13075238160).

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

4712590080 is a wasteful number, since it uses less digits than its factorization.

4712590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37227 (or 37210 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 4712590080 is about 68648.3071896168. The cubic root of 4712590080 is about 1676.5630414626.

The spelling of 4712590080 in words is "four billion, seven hundred twelve million, five hundred ninety thousand, eighty".