46667778696 has 768 divisors, whose sum is σ = 172092211200. Its totient is φ = 11496038400.

The previous prime is 46667778691. The next prime is 46667778709. The reversal of 46667778696 is 69687776664.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (768144384) is a multiple of the sum of its prime divisors (256).

It is not an unprimeable number, because it can be changed into a prime (46667778691) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 412989136 + ... + 412989248.

It is an arithmetic number, because the mean of its divisors is an integer number (224078400).

Almost surely, 2^46667778696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46667778696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86046105600).

46667778696 is an abundant number, since it is smaller than the sum of its proper divisors (125424432504).

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

46667778696 is a wasteful number, since it uses less digits than its factorization.

46667778696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its digits is 768144384, while the sum is 72.

The spelling of 46667778696 in words is "forty-six billion, six hundred sixty-seven million, seven hundred seventy-eight thousand, six hundred ninety-six".