4786978560 has 864 divisors, whose sum is σ = 20356277760. Its totient is φ = 947552256.

The previous prime is 4786978549. The next prime is 4786978607. The reversal of 4786978560 is 658796874.

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 = 4786978494 and 4786978503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46475469 + ... + 46475571.

Almost surely, 2^4786978560 is an apocalyptic number.

4786978560 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 4786978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178138880).

4786978560 is an abundant number, since it is smaller than the sum of its proper divisors (15569299200).

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

4786978560 is a wasteful number, since it uses less digits than its factorization.

4786978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The square root of 4786978560 is about 69187.9943342774. The cubic root of 4786978560 is about 1685.3385730845.

The spelling of 4786978560 in words is "four billion, seven hundred eighty-six million, nine hundred seventy-eight thousand, five hundred sixty".