4986178560 has 440 divisors, whose sum is σ = 19509809616. Its totient is φ = 1207664640.

The previous prime is 4986178529. The next prime is 4986178621. The reversal of 4986178560 is 658716894.

4986178560 is a `hidden beast` number, since 4 + 9 + 8 + 6 + 1 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4986178497 and 4986178506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4561374 + ... + 4562466.

Almost surely, 2^4986178560 is an apocalyptic number.

4986178560 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 4986178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9754904808).

4986178560 is an abundant number, since it is smaller than the sum of its proper divisors (14523631056).

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

4986178560 is a wasteful number, since it uses less digits than its factorization.

4986178560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4986178560 is about 70612.8781455621. The cubic root of 4986178560 is about 1708.3988706221.

The spelling of 4986178560 in words is "four billion, nine hundred eighty-six million, one hundred seventy-eight thousand, five hundred sixty".