46959763968 has 240 divisors, whose sum is σ = 147816789120. Its totient is φ = 14264819712.

The previous prime is 46959763957. The next prime is 46959763973. The reversal of 46959763968 is 86936795964.

46959763968 is a `hidden beast` number, since 469 + 5 + 9 + 76 + 3 + 96 + 8 = 666.

It is a super-2 number, since 2×46959763968² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 46959763896 and 46959763905.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4727455 + ... + 4737377.

It is an arithmetic number, because the mean of its divisors is an integer number (615903288).

Almost surely, 2^46959763968 is an apocalyptic number.

46959763968 is a gapful number since it is divisible by the number (48) 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 46959763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73908394560).

46959763968 is an abundant number, since it is smaller than the sum of its proper divisors (100857025152).

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

46959763968 is a wasteful number, since it uses less digits than its factorization.

46959763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10039 (or 10020 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 72.

The spelling of 46959763968 in words is "forty-six billion, nine hundred fifty-nine million, seven hundred sixty-three thousand, nine hundred sixty-eight".