29814372000 has 768 divisors, whose sum is σ = 125483904000. Its totient is φ = 6735052800.

The previous prime is 29814371981. The next prime is 29814372019. The reversal of 29814372000 is 27341892.

It is an interprime number because it is at equal distance from previous prime (29814371981) and next prime (29814372019).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 85427826 + ... + 85428174.

It is an arithmetic number, because the mean of its divisors is an integer number (163390500).

Almost surely, 2^29814372000 is an apocalyptic number.

29814372000 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 29814372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952000).

29814372000 is an abundant number, since it is smaller than the sum of its proper divisors (95669532000).

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

29814372000 is a wasteful number, since it uses less digits than its factorization.

29814372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 29814372000 in words is "twenty-nine billion, eight hundred fourteen million, three hundred seventy-two thousand".