4068102720 has 672 divisors, whose sum is σ = 15810195456. Its totient is φ = 877363200.

The previous prime is 4068102707. The next prime is 4068102721. The reversal of 4068102720 is 272018604.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4068102721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94607019 + ... + 94607061.

Almost surely, 2^4068102720 is an apocalyptic number.

4068102720 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 4068102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905097728).

4068102720 is an abundant number, since it is smaller than the sum of its proper divisors (11742092736).

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

4068102720 is a wasteful number, since it uses less digits than its factorization.

4068102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4068102720 is about 63781.6801283880. The cubic root of 4068102720 is about 1596.3592635993.

The spelling of 4068102720 in words is "four billion, sixty-eight million, one hundred two thousand, seven hundred twenty".