46264720320 has 1344 divisors, whose sum is σ = 213305379840. Its totient is φ = 9190858752.

The previous prime is 46264720289. The next prime is 46264720349. The reversal of 46264720320 is 2302746264.

46264720320 is a `hidden beast` number, since 4 + 6 + 2 + 647 + 2 + 0 + 3 + 2 + 0 = 666.

46264720320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 283832559 + ... + 283832721.

It is an arithmetic number, because the mean of its divisors is an integer number (158709360).

Almost surely, 2^46264720320 is an apocalyptic number.

46264720320 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 46264720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106652689920).

46264720320 is an abundant number, since it is smaller than the sum of its proper divisors (167040659520).

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

46264720320 is a wasteful number, since it uses less digits than its factorization.

46264720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 46264720320 in words is "forty-six billion, two hundred sixty-four million, seven hundred twenty thousand, three hundred twenty".