683979468480 has 2016 divisors, whose sum is σ = 3144793946112. Its totient is φ = 133281054720.

The previous prime is 683979468449. The next prime is 683979468493. The reversal of 683979468480 is 84864979386.

683979468480 is a `hidden beast` number, since 6 + 8 + 39 + 79 + 46 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 683979468399 and 683979468408.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4095685357 + ... + 4095685523.

It is an arithmetic number, because the mean of its divisors is an integer number (1559917632).

Almost surely, 2^683979468480 is an apocalyptic number.

683979468480 is a gapful number since it is divisible by the number (60) 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 683979468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572396973056).

683979468480 is an abundant number, since it is smaller than the sum of its proper divisors (2460814477632).

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

683979468480 is a wasteful number, since it uses less digits than its factorization.

683979468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 683979468480 in words is "six hundred eighty-three billion, nine hundred seventy-nine million, four hundred sixty-eight thousand, four hundred eighty".