64673182080 has 1024 divisors, whose sum is σ = 262550937600. Its totient is φ = 14929920000.

The previous prime is 64673182061. The next prime is 64673182081. The reversal of 64673182080 is 8028137646.

64673182080 is a `hidden beast` number, since 6 + 467 + 3 + 182 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64673182081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 257661955 + ... + 257662205.

It is an arithmetic number, because the mean of its divisors is an integer number (256397400).

Almost surely, 2^64673182080 is an apocalyptic number.

64673182080 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 64673182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131275468800).

64673182080 is an abundant number, since it is smaller than the sum of its proper divisors (197877755520).

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

64673182080 is a wasteful number, since it uses less digits than its factorization.

64673182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

It can be divided in two parts, 64673 and 182080, that added together give a triangular number (246753 = T₇₀₂).

The spelling of 64673182080 in words is "sixty-four billion, six hundred seventy-three million, one hundred eighty-two thousand, eighty".