16425676800 has 624 divisors, whose sum is σ = 65125658080. Its totient is φ = 4034396160.

The previous prime is 16425676793. The next prime is 16425676823. The reversal of 16425676800 is 867652461.

16425676800 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 567 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35942172 + ... + 35942628.

Almost surely, 2^16425676800 is an apocalyptic number.

16425676800 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 16425676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32562829040).

16425676800 is an abundant number, since it is smaller than the sum of its proper divisors (48699981280).

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

16425676800 is a wasteful number, since it uses less digits than its factorization.

16425676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 16425676800 in words is "sixteen billion, four hundred twenty-five million, six hundred seventy-six thousand, eight hundred".