4007679975 has 144 divisors (see below), whose sum is σ = 8361444000. Its totient is φ = 1817717760.

The previous prime is 4007679967. The next prime is 4007679979. The reversal of 4007679975 is 5799767004.

It is a happy number.

It is not a de Polignac number, because 4007679975 - 2³ = 4007679967 is a prime.

It is a super-2 number, since 2×4007679975² = 32122997564032001250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007679979) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2055301 + ... + 2057249.

Almost surely, 2^4007679975 is an apocalyptic number.

4007679975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4007679975 is an abundant number, since it is smaller than the sum of its proper divisors (4353764025).

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

4007679975 is a wasteful number, since it uses less digits than its factorization.

4007679975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 4007679975 is about 63306.2396213833. The cubic root of 4007679975 is about 1588.4163358318.

The spelling of 4007679975 in words is "four billion, seven million, six hundred seventy-nine thousand, nine hundred seventy-five".