16627746240 has 1008 divisors, whose sum is σ = 73177603200. Its totient is φ = 3439263744.

The previous prime is 16627746229. The next prime is 16627746253. The reversal of 16627746240 is 4264772661.

16627746240 is a `hidden beast` number, since 16 + 6 + 2 + 7 + 7 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 69572041 + ... + 69572279.

Almost surely, 2^16627746240 is an apocalyptic number.

16627746240 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 16627746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36588801600).

16627746240 is an abundant number, since it is smaller than the sum of its proper divisors (56549856960).

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

16627746240 is a wasteful number, since it uses less digits than its factorization.

16627746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 16627746240 in words is "sixteen billion, six hundred twenty-seven million, seven hundred forty-six thousand, two hundred forty".