4526282880 has 768 divisors, whose sum is σ = 19094400000. Its totient is φ = 986259456.

The previous prime is 4526282869. The next prime is 4526282897. The reversal of 4526282880 is 882826254.

4526282880 is a `hidden beast` number, since 4 + 526 + 28 + 28 + 80 = 666.

It is a super-3 number, since 3×4526282880³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57294681 + ... + 57294759.

It is an arithmetic number, because the mean of its divisors is an integer number (24862500).

Almost surely, 2^4526282880 is an apocalyptic number.

4526282880 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 4526282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547200000).

4526282880 is an abundant number, since it is smaller than the sum of its proper divisors (14568117120).

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

4526282880 is a wasteful number, since it uses less digits than its factorization.

4526282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 4526282880 is about 67277.6551315517. The cubic root of 4526282880 is about 1654.1716150185.

The spelling of 4526282880 in words is "four billion, five hundred twenty-six million, two hundred eighty-two thousand, eight hundred eighty".