107329546368 has 576 divisors, whose sum is σ = 365876390880. Its totient is φ = 31057551360.

The previous prime is 107329546349. The next prime is 107329546369. The reversal of 107329546368 is 863645923701.

107329546368 is a `hidden beast` number, since 1 + 0 + 7 + 32 + 9 + 546 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (107329546369) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 180993880 + ... + 180994472.

It is a 1-persistent number, because it is pandigital, but 2⋅107329546368 = 214659092736 is not.

Almost surely, 2^107329546368 is an apocalyptic number.

107329546368 is a gapful number since it is divisible by the number (18) 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 107329546368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182938195440).

107329546368 is an abundant number, since it is smaller than the sum of its proper divisors (258546844512).

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

107329546368 is an equidigital number, since it uses as much as digits as its factorization.

107329546368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 107329546368 in words is "one hundred seven billion, three hundred twenty-nine million, five hundred forty-six thousand, three hundred sixty-eight".