4006770432 has 72 divisors (see below), whose sum is σ = 12187276416. Its totient is φ = 1144790016.

The previous prime is 4006770403. The next prime is 4006770437. The reversal of 4006770432 is 2340776004.

4006770432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4006770432³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4006770393 and 4006770402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006770437) 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, 367278 + ... + 378029.

It is an arithmetic number, because the mean of its divisors is an integer number (169267728).

Almost surely, 2^4006770432 is an apocalyptic number.

4006770432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4006770432 is an abundant number, since it is smaller than the sum of its proper divisors (8180505984).

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

4006770432 is an equidigital number, since it uses as much as digits as its factorization.

4006770432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745333 (or 745319 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 4006770432 is about 63299.0555379778. The cubic root of 4006770432 is about 1588.2961630405.

The spelling of 4006770432 in words is "four billion, six million, seven hundred seventy thousand, four hundred thirty-two".