16234646400 has 768 divisors, whose sum is σ = 71941824000. Its totient is φ = 3490283520.

The previous prime is 16234646359. The next prime is 16234646413. The reversal of 16234646400 is 464643261.

16234646400 is a `hidden beast` number, since 1 + 6 + 2 + 3 + 4 + 6 + 4 + 640 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10280811 + ... + 10282389.

It is an arithmetic number, because the mean of its divisors is an integer number (93674250).

Almost surely, 2^16234646400 is an apocalyptic number.

16234646400 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 16234646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35970912000).

16234646400 is an abundant number, since it is smaller than the sum of its proper divisors (55707177600).

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

16234646400 is a wasteful number, since it uses less digits than its factorization.

16234646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 16234646400 in words is "sixteen billion, two hundred thirty-four million, six hundred forty-six thousand, four hundred".