4002676965 has 120 divisors (see below), whose sum is σ = 8433486072. Its totient is φ = 1810771200.

The previous prime is 4002676957. The next prime is 4002676981. The reversal of 4002676965 is 5696762004.

It can be written as a sum of positive squares in 4 ways, for example, as 352463076 + 3650213889 = 18774^2 + 60417^2 .

It is not a de Polignac number, because 4002676965 - 2³ = 4002676957 is a prime.

It is a super-2 number, since 2×4002676965² = 32042845772283222450, which contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4002676965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2003347 + ... + 2005343.

Almost surely, 2^4002676965 is an apocalyptic number.

4002676965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4002676965 is an abundant number, since it is smaller than the sum of its proper divisors (4430809107).

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

4002676965 is a wasteful number, since it uses less digits than its factorization.

4002676965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4002676965 is about 63266.7129302606. The cubic root of 4002676965 is about 1587.7550910888.

The spelling of 4002676965 in words is "four billion, two million, six hundred seventy-six thousand, nine hundred sixty-five".