29426046720 has 288 divisors, whose sum is σ = 110311638528. Its totient is φ = 6543949824.

The previous prime is 29426046701. The next prime is 29426046721. The reversal of 29426046720 is 2764062492.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29426046721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979767 + ... + 1009353.

Almost surely, 2^29426046720 is an apocalyptic number.

29426046720 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 29426046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55155819264).

29426046720 is an abundant number, since it is smaller than the sum of its proper divisors (80885591808).

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

29426046720 is a wasteful number, since it uses less digits than its factorization.

29426046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29655 (or 29641 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 29426046720 in words is "twenty-nine billion, four hundred twenty-six million, forty-six thousand, seven hundred twenty".