4137004768 has 48 divisors (see below), whose sum is σ = 8783767440. Its totient is φ = 1906661376.

The previous prime is 4137004741. The next prime is 4137004769. The reversal of 4137004768 is 8674007314.

It is a super-2 number, since 2×4137004768² = 34229616900909467648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4137004768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137004769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300696 + ... + 314152.

It is an arithmetic number, because the mean of its divisors is an integer number (182995155).

Almost surely, 2^4137004768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4137004768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391883720).

4137004768 is an abundant number, since it is smaller than the sum of its proper divisors (4646762672).

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

4137004768 is a wasteful number, since it uses less digits than its factorization.

4137004768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14219 (or 14211 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 4137004768 is about 64319.5519884895. The cubic root of 4137004768 is about 1605.3214442730.

The spelling of 4137004768 in words is "four billion, one hundred thirty-seven million, four thousand, seven hundred sixty-eight".