29479698420480 has 864 divisors, whose sum is σ = 131874609904128. Its totient is φ = 6125646643200.

The previous prime is 29479698420467. The next prime is 29479698420493. The reversal of 29479698420480 is 8402489697492.

29479698420480 is a `hidden beast` number, since 2 + 9 + 4 + 7 + 9 + 69 + 84 + 2 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (29479698420467) and next prime (29479698420493).

It is a tau number, because it is divible by the number of its divisors (864).

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 = 29479698420399 and 29479698420408.

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, 23334640 + ... + 24565520.

It is an arithmetic number, because the mean of its divisors is an integer number (152632650352).

Almost surely, 2^{29479698420480} is an apocalyptic number.

29479698420480 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 29479698420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65937304952064).

29479698420480 is an abundant number, since it is smaller than the sum of its proper divisors (102394911483648).

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

29479698420480 is a wasteful number, since it uses less digits than its factorization.

29479698420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230935 (or 1230909 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 29479698420480 in words is "twenty-nine trillion, four hundred seventy-nine billion, six hundred ninety-eight million, four hundred twenty thousand, four hundred eighty".