46784005632000 has 4992 divisors, whose sum is σ = 221470464983040. Its totient is φ = 9236643840000.

The previous prime is 46784005631999. The next prime is 46784005632053. The reversal of 46784005632000 is 23650048764.

46784005632000 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 4 + 0 + 0 + 5 + 632 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 766950911970 + ... + 766950912030.

It is an arithmetic number, because the mean of its divisors is an integer number (44365077120).

Almost surely, 2^{46784005632000} is an apocalyptic number.

46784005632000 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 46784005632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110735232491520).

46784005632000 is an abundant number, since it is smaller than the sum of its proper divisors (174686459351040).

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

46784005632000 is a wasteful number, since it uses less digits than its factorization.

46784005632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 46784005632000 in words is "forty-six trillion, seven hundred eighty-four billion, five million, six hundred thirty-two thousand".