29660982468480 has 1024 divisors, whose sum is σ = 119723227545600. Its totient is φ = 6874636492800.

The previous prime is 29660982468463. The next prime is 29660982468521. The reversal of 29660982468480 is 8486428906692.

29660982468480 is a `hidden beast` number, since 2 + 9 + 6 + 6 + 0 + 9 + 82 + 4 + 68 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 29660982468399 and 29660982468408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 489045517 + ... + 489106163.

It is an arithmetic number, because the mean of its divisors is an integer number (116917214400).

Almost surely, 2^{29660982468480} is an apocalyptic number.

29660982468480 is a gapful number since it is divisible by the number (20) 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 29660982468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59861613772800).

29660982468480 is an abundant number, since it is smaller than the sum of its proper divisors (90062245077120).

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

29660982468480 is a wasteful number, since it uses less digits than its factorization.

29660982468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60800 (or 60782 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 29660982468480 in words is "twenty-nine trillion, six hundred sixty billion, nine hundred eighty-two million, four hundred sixty-eight thousand, four hundred eighty".