4157566720 has 72 divisors (see below), whose sum is σ = 9980933760. Its totient is φ = 1659310080.

The previous prime is 4157566717. The next prime is 4157566739. The reversal of 4157566720 is 276657514.

It is a super-2 number, since 2×4157566720² = 34570722062503116800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609730 + ... + 616510.

It is an arithmetic number, because the mean of its divisors is an integer number (138624080).

Almost surely, 2^4157566720 is an apocalyptic number.

4157566720 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 4157566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990466880).

4157566720 is an abundant number, since it is smaller than the sum of its proper divisors (5823367040).

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

4157566720 is an equidigital number, since it uses as much as digits as its factorization.

4157566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7281 (or 7267 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The square root of 4157566720 is about 64479.1960247645. The cubic root of 4157566720 is about 1607.9766669056.

The spelling of 4157566720 in words is "four billion, one hundred fifty-seven million, five hundred sixty-six thousand, seven hundred twenty".