46324776960 has 1216 divisors, whose sum is σ = 217432304640. Its totient is φ = 9059696640.

The previous prime is 46324776959. The next prime is 46324776961. The reversal of 46324776960 is 6967742364.

46324776960 is a `hidden beast` number, since 463 + 24 + 7 + 76 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46324776959) and next prime (46324776961).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 46324776897 and 46324776906.

It is not an unprimeable number, because it can be changed into a prime (46324776961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2724986872 + ... + 2724986888.

Almost surely, 2^46324776960 is an apocalyptic number.

46324776960 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 46324776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108716152320).

46324776960 is an abundant number, since it is smaller than the sum of its proper divisors (171107527680).

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

46324776960 is an equidigital number, since it uses as much as digits as its factorization.

46324776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 46324776960 in words is "forty-six billion, three hundred twenty-four million, seven hundred seventy-six thousand, nine hundred sixty".