4124663760 has 320 divisors, whose sum is σ = 15599001600. Its totient is φ = 880091136.

The previous prime is 4124663749. The next prime is 4124663783. The reversal of 4124663760 is 673664214.

It is a happy number.

It is a super-2 number, since 2×4124663760² = 34025702266114675200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3969321 + ... + 3970359.

It is an arithmetic number, because the mean of its divisors is an integer number (48746880).

Almost surely, 2^4124663760 is an apocalyptic number.

4124663760 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 4124663760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799500800).

4124663760 is an abundant number, since it is smaller than the sum of its proper divisors (11474337840).

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

4124663760 is a wasteful number, since it uses less digits than its factorization.

4124663760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 4124663760 is about 64223.5452151312. The cubic root of 4124663760 is about 1603.7235880020.

The spelling of 4124663760 in words is "four billion, one hundred twenty-four million, six hundred sixty-three thousand, seven hundred sixty".