16742678400 has 1536 divisors, whose sum is σ = 77709312000. Its totient is φ = 3433881600.

The previous prime is 16742678363. The next prime is 16742678401. The reversal of 16742678400 is 487624761.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16742678401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 356227177 + ... + 356227223.

It is an arithmetic number, because the mean of its divisors is an integer number (50592000).

Almost surely, 2^16742678400 is an apocalyptic number.

16742678400 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 16742678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38854656000).

16742678400 is an abundant number, since it is smaller than the sum of its proper divisors (60966633600).

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

16742678400 is a wasteful number, since it uses less digits than its factorization.

16742678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

It can be divided in two parts, 1674 and 2678400, that multiplied together give a square (4483641600 = 66960²).

The spelling of 16742678400 in words is "sixteen billion, seven hundred forty-two million, six hundred seventy-eight thousand, four hundred".