4000764481777 has 32 divisors (see below), whose sum is σ = 4765868236800. Its totient is φ = 3286365868800.

The previous prime is 4000764481751. The next prime is 4000764481781. The reversal of 4000764481777 is 7771844670004.

It is a de Polignac number, because none of the positive numbers 2^k-4000764481777 is a prime.

It is a super-2 number, since 2×4000764481777² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4000764481277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9147474 + ... + 9574852.

It is an arithmetic number, because the mean of its divisors is an integer number (148933382400).

Almost surely, 2^{4000764481777} is an apocalyptic number.

It is an amenable number.

4000764481777 is a deficient number, since it is larger than the sum of its proper divisors (765103755023).

4000764481777 is a wasteful number, since it uses less digits than its factorization.

4000764481777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427837.

The product of its (nonzero) digits is 7375872, while the sum is 55.

The spelling of 4000764481777 in words is "four trillion, seven hundred sixty-four million, four hundred eighty-one thousand, seven hundred seventy-seven".