4746067833780 has 2304 divisors, whose sum is σ = 19802087424000. Its totient is φ = 941525544960.

The previous prime is 4746067833743. The next prime is 4746067833799. The reversal of 4746067833780 is 873387606474.

It is a happy number.

4746067833780 is a `hidden beast` number, since 4 + 7 + 460 + 6 + 78 + 33 + 78 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 65014627824 + ... + 65014627896.

It is an arithmetic number, because the mean of its divisors is an integer number (8594656000).

Almost surely, 2^{4746067833780} 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 4746067833780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9901043712000).

4746067833780 is an abundant number, since it is smaller than the sum of its proper divisors (15056019590220).

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

4746067833780 is a wasteful number, since it uses less digits than its factorization.

4746067833780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 4746067833780 in words is "four trillion, seven hundred forty-six billion, sixty-seven million, eight hundred thirty-three thousand, seven hundred eighty".