46956768768 has 640 divisors, whose sum is σ = 172872268800. Its totient is φ = 12254478336.

The previous prime is 46956768713. The next prime is 46956768779. The reversal of 46956768768 is 86786765964.

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 = 46956768696 and 46956768705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205051278 + ... + 205051506.

It is an arithmetic number, because the mean of its divisors is an integer number (270112920).

Almost surely, 2^46956768768 is an apocalyptic number.

46956768768 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 46956768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86436134400).

46956768768 is an abundant number, since it is smaller than the sum of its proper divisors (125915500032).

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

46956768768 is a wasteful number, since it uses less digits than its factorization.

46956768768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 417 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 46956768768 in words is "forty-six billion, nine hundred fifty-six million, seven hundred sixty-eight thousand, seven hundred sixty-eight".