4061820672 has 216 divisors, whose sum is σ = 14414565984. Its totient is φ = 1071194112.

The previous prime is 4061820671. The next prime is 4061820689. The reversal of 4061820672 is 2760281604.

4061820672 is a `hidden beast` number, since 406 + 182 + 0 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4061820671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199978 + ... + 219350.

Almost surely, 2^4061820672 is an apocalyptic number.

4061820672 is a gapful number since it is divisible by the number (42) 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 4061820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207282992).

4061820672 is an abundant number, since it is smaller than the sum of its proper divisors (10352745312).

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

4061820672 is a wasteful number, since it uses less digits than its factorization.

4061820672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19415 (or 19398 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4061820672 is about 63732.4146098357. The cubic root of 4061820672 is about 1595.5371299851.

The spelling of 4061820672 in words is "four billion, sixty-one million, eight hundred twenty thousand, six hundred seventy-two".