30012446767968 has 864 divisors, whose sum is σ = 108023715072000. Its totient is φ = 7851062661120.

The previous prime is 30012446767951. The next prime is 30012446768011. The reversal of 30012446767968 is 86976764421003.

It is a happy number.

30012446767968 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 24 + 467 + 67 + 96 + 8 = 666.

It is a super-2 number, since 2×30012446767968² (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7638696628 + ... + 7638700556.

It is an arithmetic number, because the mean of its divisors is an integer number (125027448000).

Almost surely, 2^{30012446767968} is an apocalyptic number.

30012446767968 is a gapful number since it is divisible by the number (38) 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 30012446767968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54011857536000).

30012446767968 is an abundant number, since it is smaller than the sum of its proper divisors (78011268304032).

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

30012446767968 is a wasteful number, since it uses less digits than its factorization.

30012446767968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4928 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 30012446767968 in words is "thirty trillion, twelve billion, four hundred forty-six million, seven hundred sixty-seven thousand, nine hundred sixty-eight".