16397792400 has 240 divisors, whose sum is σ = 58524254208. Its totient is φ = 3890496000.

The previous prime is 16397792363. The next prime is 16397792401. The reversal of 16397792400 is 429779361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 16397792400.

It is not an unprimeable number, because it can be changed into a prime (16397792401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607185 + ... + 633615.

Almost surely, 2^16397792400 is an apocalyptic number.

16397792400 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 16397792400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29262127104).

16397792400 is an abundant number, since it is smaller than the sum of its proper divisors (42126461808).

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

16397792400 is a wasteful number, since it uses less digits than its factorization.

16397792400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26510 (or 26499 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 16397792400 in words is "sixteen billion, three hundred ninety-seven million, seven hundred ninety-two thousand, four hundred".