29474025744 has 160 divisors (see below), whose sum is σ = 80180899840. Its totient is φ = 9317721600.

The previous prime is 29474025731. The next prime is 29474025751. The reversal of 29474025744 is 44752047492.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 29474025693 and 29474025702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22829739 + ... + 22831029.

It is an arithmetic number, because the mean of its divisors is an integer number (501130624).

Almost surely, 2^29474025744 is an apocalyptic number.

29474025744 is a gapful number since it is divisible by the number (24) 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 29474025744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40090449920).

29474025744 is an abundant number, since it is smaller than the sum of its proper divisors (50706874096).

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

29474025744 is a wasteful number, since it uses less digits than its factorization.

29474025744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 29474025744 in words is "twenty-nine billion, four hundred seventy-four million, twenty-five thousand, seven hundred forty-four".