4978437660 has 384 divisors, whose sum is σ = 18343987200. Its totient is φ = 1097349120.

The previous prime is 4978437647. The next prime is 4978437661. The reversal of 4978437660 is 667348794.

It is a happy number.

4978437660 is a `hidden beast` number, since 497 + 84 + 3 + 76 + 6 + 0 = 666.

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 = 4978437597 and 4978437606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4978437661) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 17716720 + ... + 17717000.

It is an arithmetic number, because the mean of its divisors is an integer number (47770800).

Almost surely, 2^4978437660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4978437660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9171993600).

4978437660 is an abundant number, since it is smaller than the sum of its proper divisors (13365549540).

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

4978437660 is a wasteful number, since it uses less digits than its factorization.

4978437660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 4978437660 is about 70558.0446157630. The cubic root of 4978437660 is about 1707.5143325506.

The spelling of 4978437660 in words is "four billion, nine hundred seventy-eight million, four hundred thirty-seven thousand, six hundred sixty".