4891067160 has 384 divisors, whose sum is σ = 17776765440. Its totient is φ = 1054218240.

The previous prime is 4891067149. The next prime is 4891067177. The reversal of 4891067160 is 617601984.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 58928479 + ... + 58928561.

It is an arithmetic number, because the mean of its divisors is an integer number (46293660).

Almost surely, 2^4891067160 is an apocalyptic number.

4891067160 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 4891067160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8888382720).

4891067160 is an abundant number, since it is smaller than the sum of its proper divisors (12885698280).

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

4891067160 is a wasteful number, since it uses less digits than its factorization.

4891067160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 4891067160 is about 69936.1648934226. The cubic root of 4891067160 is about 1697.4664868453.

The spelling of 4891067160 in words is "four billion, eight hundred ninety-one million, sixty-seven thousand, one hundred sixty".