16783260480 has 672 divisors, whose sum is σ = 71301254400. Its totient is φ = 3701182464.

The previous prime is 16783260449. The next prime is 16783260491. The reversal of 16783260480 is 8406238761.

16783260480 is a `hidden beast` number, since 1 + 6 + 7 + 8 + 32 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 12276757 + ... + 12278123.

Almost surely, 2^16783260480 is an apocalyptic number.

16783260480 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 16783260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35650627200).

16783260480 is an abundant number, since it is smaller than the sum of its proper divisors (54517993920).

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

16783260480 is a wasteful number, since it uses less digits than its factorization.

16783260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16783260480 in words is "sixteen billion, seven hundred eighty-three million, two hundred sixty thousand, four hundred eighty".