29264004000 has 2304 divisors, whose sum is σ = 148361601024. Its totient is φ = 5474304000.

The previous prime is 29264003987. The next prime is 29264004037. The reversal of 29264004000 is 40046292.

It is a super-2 number, since 2×29264004000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1272347989 + ... + 1272348011.

It is an arithmetic number, because the mean of its divisors is an integer number (64393056).

Almost surely, 2^29264004000 is an apocalyptic number.

29264004000 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 29264004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74180800512).

29264004000 is an abundant number, since it is smaller than the sum of its proper divisors (119097597024).

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

29264004000 is a wasteful number, since it uses less digits than its factorization.

29264004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 29264004000 in words is "twenty-nine billion, two hundred sixty-four million, four thousand".