29879321472 has 640 divisors, whose sum is σ = 119431065600. Its totient is φ = 7161384960.

The previous prime is 29879321389. The next prime is 29879321501. The reversal of 29879321472 is 27412397892.

It is a happy number.

29879321472 is a `hidden beast` number, since 2 + 9 + 87 + 93 + 2 + 1 + 472 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10376929 + ... + 10379807.

It is an arithmetic number, because the mean of its divisors is an integer number (186611040).

Almost surely, 2^29879321472 is an apocalyptic number.

29879321472 is a gapful number since it is divisible by the number (22) 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 29879321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59715532800).

29879321472 is an abundant number, since it is smaller than the sum of its proper divisors (89551744128).

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

29879321472 is a wasteful number, since it uses less digits than its factorization.

29879321472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2915 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 29879321472 in words is "twenty-nine billion, eight hundred seventy-nine million, three hundred twenty-one thousand, four hundred seventy-two".