4959561600 has 576 divisors, whose sum is σ = 20562865440. Its totient is φ = 1114767360.

The previous prime is 4959561557. The next prime is 4959561631. The reversal of 4959561600 is 61659594.

It is a happy number.

4959561600 is a `hidden beast` number, since 49 + 595 + 6 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14716632 + ... + 14716968.

Almost surely, 2^4959561600 is an apocalyptic number.

4959561600 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 4959561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281432720).

4959561600 is an abundant number, since it is smaller than the sum of its proper divisors (15603303840).

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

4959561600 is a wasteful number, since it uses less digits than its factorization.

4959561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 4959561600 is about 70424.1549470066. The cubic root of 4959561600 is about 1705.3535499458.

The spelling of 4959561600 in words is "four billion, nine hundred fifty-nine million, five hundred sixty-one thousand, six hundred".