16612646400 has 1080 divisors, whose sum is σ = 72377945640. Its totient is φ = 3762339840.

The previous prime is 16612646399. The next prime is 16612646411. The reversal of 16612646400 is 464621661.

16612646400 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 2 + 6 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×16612646400² (a number of 21 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 152409546 + ... + 152409654.

Almost surely, 2^16612646400 is an apocalyptic number.

16612646400 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 16612646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36188972820).

16612646400 is an abundant number, since it is smaller than the sum of its proper divisors (55765299240).

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

16612646400 is an equidigital number, since it uses as much as digits as its factorization.

16612646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16612646400 in words is "sixteen billion, six hundred twelve million, six hundred forty-six thousand, four hundred".