4113763680 has 384 divisors, whose sum is σ = 14631321600. Its totient is φ = 964583424.

The previous prime is 4113763639. The next prime is 4113763691. The reversal of 4113763680 is 863673114.

It is a super-2 number, since 2×4113763680² = 33846103229774284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 22981831 + ... + 22982009.

It is an arithmetic number, because the mean of its divisors is an integer number (38102400).

Almost surely, 2^4113763680 is an apocalyptic number.

4113763680 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 4113763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315660800).

4113763680 is an abundant number, since it is smaller than the sum of its proper divisors (10517557920).

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

4113763680 is a wasteful number, since it uses less digits than its factorization.

4113763680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 4113763680 is about 64138.6286102221. The cubic root of 4113763680 is about 1602.3096435291.

The spelling of 4113763680 in words is "four billion, one hundred thirteen million, seven hundred sixty-three thousand, six hundred eighty".