29966798400 has 672 divisors, whose sum is σ = 124089200640. Its totient is φ = 6150144000.

The previous prime is 29966798387. The next prime is 29966798437. The reversal of 29966798400 is 489766992.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32893945 + ... + 32894855.

Almost surely, 2^29966798400 is an apocalyptic number.

29966798400 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 29966798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62044600320).

29966798400 is an abundant number, since it is smaller than the sum of its proper divisors (94122402240).

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

29966798400 is a wasteful number, since it uses less digits than its factorization.

29966798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 29966798400 in words is "twenty-nine billion, nine hundred sixty-six million, seven hundred ninety-eight thousand, four hundred".