4967408160 has 1152 divisors, whose sum is σ = 22297524480. Its totient is φ = 1021870080.

The previous prime is 4967408137. The next prime is 4967408161. The reversal of 4967408160 is 618047694.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967408161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115521099 + ... + 115521141.

It is an arithmetic number, because the mean of its divisors is an integer number (19355490).

Almost surely, 2^4967408160 is an apocalyptic number.

4967408160 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 4967408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11148762240).

4967408160 is an abundant number, since it is smaller than the sum of its proper divisors (17330116320).

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

4967408160 is a wasteful number, since it uses less digits than its factorization.

4967408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4967408160 is about 70479.8422245680. The cubic root of 4967408160 is about 1706.2524269981.

The spelling of 4967408160 in words is "four billion, nine hundred sixty-seven million, four hundred eight thousand, one hundred sixty".