4967733120 has 256 divisors, whose sum is σ = 18262471680. Its totient is φ = 1125089280.

The previous prime is 4967733107. The next prime is 4967733151. The reversal of 4967733120 is 213377694.

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 31 ways as a sum of consecutive naturals, for example, 1517085 + ... + 1520355.

It is an arithmetic number, because the mean of its divisors is an integer number (71337780).

Almost surely, 2^4967733120 is an apocalyptic number.

4967733120 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 4967733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9131235840).

4967733120 is an abundant number, since it is smaller than the sum of its proper divisors (13294738560).

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

4967733120 is a wasteful number, since it uses less digits than its factorization.

4967733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 4967733120 is about 70482.1475268738. The cubic root of 4967733120 is about 1706.2896329669.

The spelling of 4967733120 in words is "four billion, nine hundred sixty-seven million, seven hundred thirty-three thousand, one hundred twenty".