4905679570000 has 200 divisors, whose sum is σ = 13134393898560. Its totient is φ = 1759443840000.

The previous prime is 4905679569991. The next prime is 4905679570027. The reversal of 4905679570000 is 759765094.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 4905679570000.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 7724541 + ... + 8335459.

Almost surely, 2^{4905679570000} is an apocalyptic number.

4905679570000 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 4905679570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567196949280).

4905679570000 is an abundant number, since it is smaller than the sum of its proper divisors (8228714328560).

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

4905679570000 is a wasteful number, since it uses less digits than its factorization.

4905679570000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611031 (or 611010 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 52.

The spelling of 4905679570000 in words is "four trillion, nine hundred five billion, six hundred seventy-nine million, five hundred seventy thousand".