4164747840 has 448 divisors, whose sum is σ = 16255837440. Its totient is φ = 1007769600.

The previous prime is 4164747817. The next prime is 4164747863. The reversal of 4164747840 is 487474614.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4164747817) and next prime (4164747863).

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

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7697970 + ... + 7698510.

Almost surely, 2^4164747840 is an apocalyptic number.

4164747840 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 4164747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8127918720).

4164747840 is an abundant number, since it is smaller than the sum of its proper divisors (12091089600).

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

4164747840 is an equidigital number, since it uses as much as digits as its factorization.

4164747840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 4164747840 is about 64534.8575577571. The cubic root of 4164747840 is about 1608.9019221778.

The spelling of 4164747840 in words is "four billion, one hundred sixty-four million, seven hundred forty-seven thousand, eight hundred forty".