4077743059680 has 96 divisors (see below), whose sum is σ = 13055462709408. Its totient is φ = 1069571942400.

The previous prime is 4077743059679. The next prime is 4077743059693. The reversal of 4077743059680 is 869503477704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 69604311 + ... + 69662870.

It is an arithmetic number, because the mean of its divisors is an integer number (135994403223).

Almost surely, 2^{4077743059680} is an apocalyptic number.

4077743059680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4077743059680 is an abundant number, since it is smaller than the sum of its proper divisors (8977719649728).

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

4077743059680 is a wasteful number, since it uses less digits than its factorization.

4077743059680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139267260 (or 139267252 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 4077743059680 in words is "four trillion, seventy-seven billion, seven hundred forty-three million, fifty-nine thousand, six hundred eighty".