46673396640 has 1536 divisors, whose sum is σ = 204838502400. Its totient is φ = 9794027520.

The previous prime is 46673396573. The next prime is 46673396641. The reversal of 46673396640 is 4669337664.

46673396640 is a `hidden beast` number, since 466 + 7 + 33 + 96 + 64 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (46673396641) 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 255 ways as a sum of consecutive naturals, for example, 562330039 + ... + 562330121.

It is an arithmetic number, because the mean of its divisors is an integer number (133358400).

Almost surely, 2^46673396640 is an apocalyptic number.

46673396640 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 46673396640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102419251200).

46673396640 is an abundant number, since it is smaller than the sum of its proper divisors (158165105760).

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

46673396640 is a wasteful number, since it uses less digits than its factorization.

46673396640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 46673396640 in words is "forty-six billion, six hundred seventy-three million, three hundred ninety-six thousand, six hundred forty".