4007177685 has 48 divisors (see below), whose sum is σ = 8046814464. Its totient is φ = 1806748416.

The previous prime is 4007177641. The next prime is 4007177693. The reversal of 4007177685 is 5867717004.

It is not a de Polignac number, because 4007177685 - 2⁷ = 4007177557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4007177685.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64137 + ... + 110126.

It is an arithmetic number, because the mean of its divisors is an integer number (167641968).

Almost surely, 2^4007177685 is an apocalyptic number.

4007177685 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4007177685 is an abundant number, since it is smaller than the sum of its proper divisors (4039636779).

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

4007177685 is a wasteful number, since it uses less digits than its factorization.

4007177685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174354 (or 174351 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 4007177685 is about 63302.2723525783. The cubic root of 4007177685 is about 1588.3499733327.

The spelling of 4007177685 in words is "four billion, seven million, one hundred seventy-seven thousand, six hundred eighty-five".