16775216640 has 1200 divisors, whose sum is σ = 75862144512. Its totient is φ = 3511517184.

The previous prime is 16775216639. The next prime is 16775216677. The reversal of 16775216640 is 4661257761.

16775216640 is a `hidden beast` number, since 1 + 67 + 7 + 521 + 6 + 64 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 132088257 + ... + 132088383.

Almost surely, 2^16775216640 is an apocalyptic number.

16775216640 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 16775216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37931072256).

16775216640 is an abundant number, since it is smaller than the sum of its proper divisors (59086927872).

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

16775216640 is a wasteful number, since it uses less digits than its factorization.

16775216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 16775216640 in words is "sixteen billion, seven hundred seventy-five million, two hundred sixteen thousand, six hundred forty".