1684464768 has 384 divisors, whose sum is σ = 6000048000. Its totient is φ = 464679936.

The previous prime is 1684464751. The next prime is 1684464791. The reversal of 1684464768 is 8674644861.

1684464768 is a `hidden beast` number, since 168 + 4 + 4 + 6 + 476 + 8 = 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.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58084978 + ... + 58085006.

It is an arithmetic number, because the mean of its divisors is an integer number (15625125).

Almost surely, 2^1684464768 is an apocalyptic number.

1684464768 is a gapful number since it is divisible by the number (18) 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 1684464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000024000).

1684464768 is an abundant number, since it is smaller than the sum of its proper divisors (4315583232).

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

1684464768 is an frugal number, since it uses more digits than its factorization.

1684464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 1684464768 is about 41042.2315182788. The cubic root of 1684464768 is about 1189.8365634829.

The spelling of 1684464768 in words is "one billion, six hundred eighty-four million, four hundred sixty-four thousand, seven hundred sixty-eight".