46542802320 has 240 divisors, whose sum is σ = 184398769152. Its totient is φ = 10295147520.

The previous prime is 46542802309. The next prime is 46542802321. The reversal of 46542802320 is 2320824564.

46542802320 is a `hidden beast` number, since 4 + 6 + 54 + 280 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (46542802321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7294 + ... + 305186.

Almost surely, 2^46542802320 is an apocalyptic number.

46542802320 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 46542802320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92199384576).

46542802320 is an abundant number, since it is smaller than the sum of its proper divisors (137855966832).

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

46542802320 is a wasteful number, since it uses less digits than its factorization.

46542802320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297950 (or 297941 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 46542802320 in words is "forty-six billion, five hundred forty-two million, eight hundred two thousand, three hundred twenty".