30945107168640 has 768 divisors, whose sum is σ = 129286578470400. Its totient is φ = 6973531729920.

The previous prime is 30945107168629. The next prime is 30945107168653. The reversal of 30945107168640 is 4686170154903.

30945107168640 is a `hidden beast` number, since 3 + 0 + 9 + 4 + 510 + 7 + 1 + 6 + 86 + 40 = 666.

It is a super-2 number, since 2×30945107168640² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59859747 + ... + 60374493.

It is an arithmetic number, because the mean of its divisors is an integer number (168341899050).

Almost surely, 2^{30945107168640} is an apocalyptic number.

30945107168640 is a gapful number since it is divisible by the number (30) 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 30945107168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64643289235200).

30945107168640 is an abundant number, since it is smaller than the sum of its proper divisors (98341471301760).

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

30945107168640 is a wasteful number, since it uses less digits than its factorization.

30945107168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514860 (or 514835 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 30945107168640 in words is "thirty trillion, nine hundred forty-five billion, one hundred seven million, one hundred sixty-eight thousand, six hundred forty".