46275264000 has 960 divisors, whose sum is σ = 199165824000. Its totient is φ = 10097049600.

The previous prime is 46275263959. The next prime is 46275264037. The reversal of 46275264000 is 46257264.

46275264000 is a `hidden beast` number, since 4 + 6 + 2 + 7 + 5 + 2 + 640 + 0 + 0 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92735751 + ... + 92736249.

It is an arithmetic number, because the mean of its divisors is an integer number (207464400).

Almost surely, 2^46275264000 is an apocalyptic number.

46275264000 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 46275264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99582912000).

46275264000 is an abundant number, since it is smaller than the sum of its proper divisors (152890560000).

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

46275264000 is a wasteful number, since it uses less digits than its factorization.

46275264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 46275264000 in words is "forty-six billion, two hundred seventy-five million, two hundred sixty-four thousand".