4072677160 has 64 divisors (see below), whose sum is σ = 9574329600. Its totient is φ = 1556222976.

The previous prime is 4072677083. The next prime is 4072677179. The reversal of 4072677160 is 617762704.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843072 + ... + 847888.

It is an arithmetic number, because the mean of its divisors is an integer number (149598900).

Almost surely, 2^4072677160 is an apocalyptic number.

4072677160 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 4072677160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787164800).

4072677160 is an abundant number, since it is smaller than the sum of its proper divisors (5501652440).

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

4072677160 is a wasteful number, since it uses less digits than its factorization.

4072677160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5770 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 4072677160 is about 63817.5301935134. The cubic root of 4072677160 is about 1596.9573896189.

The spelling of 4072677160 in words is "four billion, seventy-two million, six hundred seventy-seven thousand, one hundred sixty".