4007700667344 has 80 divisors (see below), whose sum is σ = 11683892272320. Its totient is φ = 1172576993280.

The previous prime is 4007700667301. The next prime is 4007700667423. The reversal of 4007700667344 is 4437660077004.

4007700667344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4007700667293 and 4007700667302.

It is a congruent number.

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, 130852657 + ... + 130883280.

It is an arithmetic number, because the mean of its divisors is an integer number (146048653404).

Almost surely, 2^{4007700667344} is an apocalyptic number.

4007700667344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4007700667344 is an abundant number, since it is smaller than the sum of its proper divisors (7676191604976).

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

4007700667344 is a wasteful number, since it uses less digits than its factorization.

4007700667344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261735988 (or 261735982 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 48.

The spelling of 4007700667344 in words is "four trillion, seven billion, seven hundred million, six hundred sixty-seven thousand, three hundred forty-four".