4069824000 has 640 divisors, whose sum is σ = 15443011584. Its totient is φ = 942080000.

The previous prime is 4069823999. The next prime is 4069824001. The reversal of 4069824000 is 4289604.

It is an interprime number because it is at equal distance from previous prime (4069823999) and next prime (4069824001).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×4069824000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4069824001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86591977 + ... + 86592023.

Almost surely, 2^4069824000 is an apocalyptic number.

4069824000 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 4069824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721505792).

4069824000 is an abundant number, since it is smaller than the sum of its proper divisors (11373187584).

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

4069824000 is a wasteful number, since it uses less digits than its factorization.

4069824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4069824000 is about 63795.1722311336. The cubic root of 4069824000 is about 1596.5843803191.

The spelling of 4069824000 in words is "four billion, sixty-nine million, eight hundred twenty-four thousand".