30673707166368 has 384 divisors, whose sum is σ = 106706158755840. Its totient is φ = 8381697730560.

The previous prime is 30673707166363. The next prime is 30673707166369. The reversal of 30673707166368 is 86366170737603.

It is a happy number.

30673707166368 is a `hidden beast` number, since 306 + 73 + 70 + 7 + 166 + 36 + 8 = 666.

It is a super-2 number, since 2×30673707166368² (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 not an unprimeable number, because it can be changed into a prime (30673707166363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1536671908 + ... + 1536691868.

It is an arithmetic number, because the mean of its divisors is an integer number (277880621760).

Almost surely, 2^{30673707166368} 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 30673707166368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53353079377920).

30673707166368 is an abundant number, since it is smaller than the sum of its proper divisors (76032451589472).

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

30673707166368 is a wasteful number, since it uses less digits than its factorization.

30673707166368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31057 (or 31043 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 63.

The spelling of 30673707166368 in words is "thirty trillion, six hundred seventy-three billion, seven hundred seven million, one hundred sixty-six thousand, three hundred sixty-eight".