16973007408 has 320 divisors, whose sum is σ = 57753763840. Its totient is φ = 4670265600.

The previous prime is 16973007407. The next prime is 16973007421. The reversal of 16973007408 is 80470037961.

It is not an unprimeable number, because it can be changed into a prime (16973007407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31028991 + ... + 31029537.

It is an arithmetic number, because the mean of its divisors is an integer number (180480512).

Almost surely, 2^16973007408 is an apocalyptic number.

16973007408 is a gapful number since it is divisible by the number (18) 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 16973007408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28876881920).

16973007408 is an abundant number, since it is smaller than the sum of its proper divisors (40780756432).

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

16973007408 is a wasteful number, since it uses less digits than its factorization.

16973007408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 16973007408 in words is "sixteen billion, nine hundred seventy-three million, seven thousand, four hundred eight".