16970342400 has 1008 divisors, whose sum is σ = 70988456448. Its totient is φ = 3981312000.

The previous prime is 16970342399. The next prime is 16970342443. The reversal of 16970342400 is 424307961.

16970342400 is a `hidden beast` number, since 169 + 70 + 3 + 424 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 547430385 + ... + 547430415.

It is an arithmetic number, because the mean of its divisors is an integer number (70425056).

Almost surely, 2^16970342400 is an apocalyptic number.

16970342400 is a gapful number since it is divisible by the number (10) 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 16970342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35494228224).

16970342400 is an abundant number, since it is smaller than the sum of its proper divisors (54018114048).

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

16970342400 is an equidigital number, since it uses as much as digits as its factorization.

16970342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 16970342400 in words is "sixteen billion, nine hundred seventy million, three hundred forty-two thousand, four hundred".