46767682078720 has 192 divisors, whose sum is σ = 113836308768000. Its totient is φ = 18437632032768.

The previous prime is 46767682078699. The next prime is 46767682078727. The reversal of 46767682078720 is 2787028676764.

It is a self number, because there is not a number n which added to its sum of digits gives 46767682078720.

It is not an unprimeable number, because it can be changed into a prime (46767682078727) 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 15 ways as a sum of consecutive naturals, for example, 460247439 + ... + 460349041.

It is an arithmetic number, because the mean of its divisors is an integer number (592897441500).

Almost surely, 2^{46767682078720} is an apocalyptic number.

46767682078720 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 46767682078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56918154384000).

46767682078720 is an abundant number, since it is smaller than the sum of its proper divisors (67068626689280).

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

46767682078720 is a wasteful number, since it uses less digits than its factorization.

46767682078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102278 (or 102258 counting only the distinct ones).

The product of its (nonzero) digits is 531062784, while the sum is 70.

The spelling of 46767682078720 in words is "forty-six trillion, seven hundred sixty-seven billion, six hundred eighty-two million, seventy-eight thousand, seven hundred twenty".