4686769454640 has 2560 divisors, whose sum is σ = 20508554035200. Its totient is φ = 857813483520.

The previous prime is 4686769454623. The next prime is 4686769454753. The reversal of 4686769454640 is 464549676864.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 20466242046 + ... + 20466242274.

It is an arithmetic number, because the mean of its divisors is an integer number (8011153920).

Almost surely, 2^{4686769454640} is an apocalyptic number.

4686769454640 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 4686769454640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10254277017600).

4686769454640 is an abundant number, since it is smaller than the sum of its proper divisors (15821784580560).

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

4686769454640 is a wasteful number, since it uses less digits than its factorization.

4686769454640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 69.

The spelling of 4686769454640 in words is "four trillion, six hundred eighty-six billion, seven hundred sixty-nine million, four hundred fifty-four thousand, six hundred forty".