4073464080 has 300 divisors, whose sum is σ = 16458862860. Its totient is φ = 931004928.

The previous prime is 4073464069. The next prime is 4073464081. The reversal of 4073464080 is 804643704.

4073464080 is a `hidden beast` number, since 4 + 0 + 7 + 3 + 4 + 640 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2365460496 + 1708003584 = 48636^2 + 41328^2 .

It is a super-2 number, since 2×4073464080² = 33186219222100492800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4073464081) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 311106 + ... + 323934.

Almost surely, 2^4073464080 is an apocalyptic number.

4073464080 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 4073464080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8229431430).

4073464080 is an abundant number, since it is smaller than the sum of its proper divisors (12385398780).

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

4073464080 is a wasteful number, since it uses less digits than its factorization.

4073464080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12868 (or 12846 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4073464080 is about 63823.6952863120. The cubic root of 4073464080 is about 1597.0602373470.

The spelling of 4073464080 in words is "four billion, seventy-three million, four hundred sixty-four thousand, eighty".