29968263000 has 1152 divisors, whose sum is σ = 124252315200. Its totient is φ = 6469632000.

The previous prime is 29968262993. The next prime is 29968263041. The reversal of 29968263000 is 36286992.

29968263000 is a `hidden beast` number, since 2 + 9 + 9 + 6 + 8 + 2 + 630 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 491282970 + ... + 491283030.

Almost surely, 2^29968263000 is an apocalyptic number.

29968263000 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 29968263000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62126157600).

29968263000 is an abundant number, since it is smaller than the sum of its proper divisors (94284052200).

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

29968263000 is a wasteful number, since it uses less digits than its factorization.

29968263000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 29968263000 in words is "twenty-nine billion, nine hundred sixty-eight million, two hundred sixty-three thousand".