16778436480 has 192 divisors, whose sum is σ = 62395089120. Its totient is φ = 4130058240.

The previous prime is 16778436473. The next prime is 16778436487. The reversal of 16778436480 is 8463487761.

16778436480 is a `hidden beast` number, since 1 + 67 + 78 + 4 + 36 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (16778436473) and next prime (16778436487).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16778436487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37156 + ... + 186915.

Almost surely, 2^16778436480 is an apocalyptic number.

16778436480 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 16778436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31197544560).

16778436480 is an abundant number, since it is smaller than the sum of its proper divisors (45616652640).

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

16778436480 is a wasteful number, since it uses less digits than its factorization.

16778436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224109 (or 224094 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 16778436480 in words is "sixteen billion, seven hundred seventy-eight million, four hundred thirty-six thousand, four hundred eighty".