46800374400 has 1920 divisors, whose sum is σ = 212114548800. Its totient is φ = 10032906240.

The previous prime is 46800374359. The next prime is 46800374431. The reversal of 46800374400 is 447300864.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1088380779 + ... + 1088380821.

Almost surely, 2^46800374400 is an apocalyptic number.

46800374400 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 46800374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106057274400).

46800374400 is an abundant number, since it is smaller than the sum of its proper divisors (165314174400).

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

46800374400 is a wasteful number, since it uses less digits than its factorization.

46800374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 46800374400 in words is "forty-six billion, eight hundred million, three hundred seventy-four thousand, four hundred".