4207368672 has 144 divisors (see below), whose sum is σ = 12918512880. Its totient is φ = 1291216896.

The previous prime is 4207368661. The next prime is 4207368673. The reversal of 4207368672 is 2768637024.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4207368672² = 35403902284254087168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4207368673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1709779 + ... + 1712237.

It is an arithmetic number, because the mean of its divisors is an integer number (89711895).

Almost surely, 2^4207368672 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 4207368672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459256440).

4207368672 is an abundant number, since it is smaller than the sum of its proper divisors (8711144208).

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

4207368672 is a wasteful number, since it uses less digits than its factorization.

4207368672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 4207368672 is about 64864.2326093510. The cubic root of 4207368672 is about 1614.3716524126.

The spelling of 4207368672 in words is "four billion, two hundred seven million, three hundred sixty-eight thousand, six hundred seventy-two".