29630113968 has 320 divisors, whose sum is σ = 98070167552. Its totient is φ = 7498552320.

The previous prime is 29630113951. The next prime is 29630113973. The reversal of 29630113968 is 86931103692.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 17195955 + ... + 17197677.

Almost surely, 2^29630113968 is an apocalyptic number.

29630113968 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 29630113968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49035083776).

29630113968 is an abundant number, since it is smaller than the sum of its proper divisors (68440053584).

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

29630113968 is a wasteful number, since it uses less digits than its factorization.

29630113968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 29630113968 in words is "twenty-nine billion, six hundred thirty million, one hundred thirteen thousand, nine hundred sixty-eight".