29297473968 has 160 divisors (see below), whose sum is σ = 92101248000. Its totient is φ = 8006659584.

The previous prime is 29297473963. The next prime is 29297473973. The reversal of 29297473968 is 86937479292.

It is an interprime number because it is at equal distance from previous prime (29297473963) and next prime (29297473973).

It is a junction number, because it is equal to n+sod(n) for n = 29297473899 and 29297473908.

It is not an unprimeable number, because it can be changed into a prime (29297473963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339988 + ... + 417356.

It is an arithmetic number, because the mean of its divisors is an integer number (575632800).

Almost surely, 2^29297473968 is an apocalyptic number.

29297473968 is a gapful number since it is divisible by the number (28) 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 29297473968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46050624000).

29297473968 is an abundant number, since it is smaller than the sum of its proper divisors (62803774032).

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

29297473968 is a wasteful number, since it uses less digits than its factorization.

29297473968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77424 (or 77404 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 66.

The spelling of 29297473968 in words is "twenty-nine billion, two hundred ninety-seven million, four hundred seventy-three thousand, nine hundred sixty-eight".