4006771000 has 64 divisors (see below), whose sum is σ = 9468912960. Its totient is φ = 1586800000.

The previous prime is 4006770997. The next prime is 4006771001. The reversal of 4006771000 is 1776004.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006771001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81165 + ... + 120835.

It is an arithmetic number, because the mean of its divisors is an integer number (147951765).

Almost surely, 2^4006771000 is an apocalyptic number.

4006771000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006771000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734456480).

4006771000 is an abundant number, since it is smaller than the sum of its proper divisors (5462141960).

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

4006771000 is a wasteful number, since it uses less digits than its factorization.

4006771000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39793 (or 39779 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 4006771000 is about 63299.0600246165. The cubic root of 4006771000 is about 1588.2962380928.

The spelling of 4006771000 in words is "four billion, six million, seven hundred seventy-one thousand".