4979677560 has 768 divisors, whose sum is σ = 19562618880. Its totient is φ = 1003622400.

The previous prime is 4979677517. The next prime is 4979677579. The reversal of 4979677560 is 657769794.

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

It is a junction number, because it is equal to n+sod(n) for n = 4979677494 and 4979677503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134585862 + ... + 134585898.

It is an arithmetic number, because the mean of its divisors is an integer number (25472160).

Almost surely, 2^4979677560 is an apocalyptic number.

4979677560 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 4979677560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9781309440).

4979677560 is an abundant number, since it is smaller than the sum of its proper divisors (14582941320).

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

4979677560 is a wasteful number, since it uses less digits than its factorization.

4979677560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 60.

The square root of 4979677560 is about 70566.8304517073. The cubic root of 4979677560 is about 1707.6560752303.

The spelling of 4979677560 in words is "four billion, nine hundred seventy-nine million, six hundred seventy-seven thousand, five hundred sixty".