29270076480 has 168 divisors, whose sum is σ = 100795531200. Its totient is φ = 7796155392.

The previous prime is 29270076431. The next prime is 29270076481. The reversal of 29270076480 is 8467007292.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (29270076481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2641191 + ... + 2652249.

It is an arithmetic number, because the mean of its divisors is an integer number (599973400).

Almost surely, 2^29270076480 is an apocalyptic number.

29270076480 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 29270076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50397765600).

29270076480 is an abundant number, since it is smaller than the sum of its proper divisors (71525454720).

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

29270076480 is a wasteful number, since it uses less digits than its factorization.

29270076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12001 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 29270076480 in words is "twenty-nine billion, two hundred seventy million, seventy-six thousand, four hundred eighty".