4969460160 has 560 divisors, whose sum is σ = 20579486400. Its totient is φ = 1114767360.

The previous prime is 4969460143. The next prime is 4969460183. The reversal of 4969460160 is 610649694.

4969460160 is a `hidden beast` number, since 496 + 94 + 60 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 11067616 + ... + 11068064.

Almost surely, 2^4969460160 is an apocalyptic number.

4969460160 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 4969460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289743200).

4969460160 is an abundant number, since it is smaller than the sum of its proper divisors (15610026240).

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

4969460160 is a wasteful number, since it uses less digits than its factorization.

4969460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4969460160 is about 70494.3980753081. The cubic root of 4969460160 is about 1706.4873414557.

The spelling of 4969460160 in words is "four billion, nine hundred sixty-nine million, four hundred sixty thousand, one hundred sixty".