29472308100480 has 384 divisors, whose sum is σ = 110407250227680. Its totient is φ = 6667076763648.

The previous prime is 29472308100479. The next prime is 29472308100481. The reversal of 29472308100480 is 8400180327492.

It is an interprime number because it is at equal distance from previous prime (29472308100479) and next prime (29472308100481).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29472308100481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7510974 + ... + 10740546.

Almost surely, 2^{29472308100480} is an apocalyptic number.

29472308100480 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 29472308100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55203625113840).

29472308100480 is an abundant number, since it is smaller than the sum of its proper divisors (80934942127200).

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

29472308100480 is a wasteful number, since it uses less digits than its factorization.

29472308100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229706 (or 3229687 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 29472308100480 in words is "twenty-nine trillion, four hundred seventy-two billion, three hundred eight million, one hundred thousand, four hundred eighty".