4746434734080 has 960 divisors, whose sum is σ = 18818115235920. Its totient is φ = 1136680501248.

The previous prime is 4746434734057. The next prime is 4746434734099. The reversal of 4746434734080 is 804374346474.

4746434734080 is a `hidden beast` number, since 4 + 7 + 464 + 34 + 73 + 4 + 0 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3780255826944 + 966178907136 = 1944288^2 + 982944^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 398954692 + ... + 398966588.

Almost surely, 2^{4746434734080} is an apocalyptic number.

4746434734080 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 4746434734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9409057617960).

4746434734080 is an abundant number, since it is smaller than the sum of its proper divisors (14071680501840).

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

4746434734080 is a wasteful number, since it uses less digits than its factorization.

4746434734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11986 (or 11957 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 54.

The spelling of 4746434734080 in words is "four trillion, seven hundred forty-six billion, four hundred thirty-four million, seven hundred thirty-four thousand, eighty".