30766746834432 has 800 divisors, whose sum is σ = 106697666245632. Its totient is φ = 8645211979776.

The previous prime is 30766746834431. The next prime is 30766746834437. The reversal of 30766746834432 is 23443864766703.

30766746834432 is a `hidden beast` number, since 3 + 0 + 7 + 66 + 74 + 68 + 3 + 443 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30766746834432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30766746834431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4589993193 + ... + 4589999895.

Almost surely, 2^{30766746834432} is an apocalyptic number.

30766746834432 is a gapful number since it is divisible by the number (32) 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 30766746834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53348833122816).

30766746834432 is an abundant number, since it is smaller than the sum of its proper divisors (75930919411200).

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

30766746834432 is an equidigital number, since it uses as much as digits as its factorization.

30766746834432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7000 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 63.

The spelling of 30766746834432 in words is "thirty trillion, seven hundred sixty-six billion, seven hundred forty-six million, eight hundred thirty-four thousand, four hundred thirty-two".