46064609280 has 960 divisors, whose sum is σ = 180756576000. Its totient is φ = 11179524096.

The previous prime is 46064609273. The next prime is 46064609281. The reversal of 46064609280 is 8290646064.

It is a tau number, because it is divible by the number of its divisors (960).

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 (46064609281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 583096281 + ... + 583096359.

It is an arithmetic number, because the mean of its divisors is an integer number (188288100).

Almost surely, 2^46064609280 is an apocalyptic number.

46064609280 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 46064609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90378288000).

46064609280 is an abundant number, since it is smaller than the sum of its proper divisors (134691966720).

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

46064609280 is a wasteful number, since it uses less digits than its factorization.

46064609280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 46064609280 in words is "forty-six billion, sixty-four million, six hundred nine thousand, two hundred eighty".