16716478464 has 384 divisors, whose sum is σ = 59596992000. Its totient is φ = 4522770432.

The previous prime is 16716478463. The next prime is 16716478507. The reversal of 16716478464 is 46487461761.

It is a happy number.

16716478464 is a `hidden beast` number, since 16 + 7 + 164 + 7 + 8 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5419008) is a multiple of the sum of its prime divisors (2304).

It is a self number, because there is not a number n which added to its sum of digits gives 16716478464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16716478463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7353232 + ... + 7355504.

It is an arithmetic number, because the mean of its divisors is an integer number (155200500).

Almost surely, 2^16716478464 is an apocalyptic number.

16716478464 is a gapful number since it is divisible by the number (14) 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 16716478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29798496000).

16716478464 is an abundant number, since it is smaller than the sum of its proper divisors (42880513536).

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

16716478464 is a wasteful number, since it uses less digits than its factorization.

16716478464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2304 counting only the distinct ones).

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

The spelling of 16716478464 in words is "sixteen billion, seven hundred sixteen million, four hundred seventy-eight thousand, four hundred sixty-four".