46479443068800 has 1920 divisors, whose sum is σ = 209507468163840. Its totient is φ = 9904787619840.

The previous prime is 46479443068789. The next prime is 46479443068819. The reversal of 46479443068800 is 886034497464.

46479443068800 is a `hidden beast` number, since 4 + 64 + 7 + 9 + 4 + 430 + 68 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3300386559 + ... + 3300400641.

It is an arithmetic number, because the mean of its divisors is an integer number (109118473002).

Almost surely, 2^{46479443068800} is an apocalyptic number.

46479443068800 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 46479443068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104753734081920).

46479443068800 is an abundant number, since it is smaller than the sum of its proper divisors (163028025095040).

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

46479443068800 is a wasteful number, since it uses less digits than its factorization.

46479443068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14250 (or 14224 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 46479443068800 in words is "forty-six trillion, four hundred seventy-nine billion, four hundred forty-three million, sixty-eight thousand, eight hundred".