6066951840 has 576 divisors, whose sum is σ = 23240939904. Its totient is φ = 1489010688.

The previous prime is 6066951797. The next prime is 6066951841. The reversal of 6066951840 is 481596606.

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

It is not an unprimeable number, because it can be changed into a prime (6066951841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44284252 + ... + 44284388.

It is an arithmetic number, because the mean of its divisors is an integer number (40348854).

It is a vampire number, since it can be written as 61506 ⋅ 98640 (with its own digits).

Almost surely, 2^6066951840 is an apocalyptic number.

6066951840 is a gapful number since it is divisible by the number (60) 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 6066951840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11620469952).

6066951840 is an abundant number, since it is smaller than the sum of its proper divisors (17173988064).

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

6066951840 is a wasteful number, since it uses less digits than its factorization.

6066951840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6066951840 is about 77890.6402592763. The cubic root of 6066951840 is about 1823.8544724614.

The spelling of 6066951840 in words is "six billion, sixty-six million, nine hundred fifty-one thousand, eight hundred forty".