684618480 has 640 divisors, whose sum is σ = 3006474240. Its totient is φ = 141087744.

The previous prime is 684618479. The next prime is 684618547. The reversal of 684618480 is 84816486.

684618480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 15921339 + ... + 15921381.

It is an arithmetic number, because the mean of its divisors is an integer number (4697616).

Almost surely, 2^684618480 is an apocalyptic number.

684618480 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 684618480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503237120).

684618480 is an abundant number, since it is smaller than the sum of its proper divisors (2321855760).

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

684618480 is a wasteful number, since it uses less digits than its factorization.

684618480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 684618480 is about 26165.2150765095. The cubic root of 684618480 is about 881.3522941462.

The spelling of 684618480 in words is "six hundred eighty-four million, six hundred eighteen thousand, four hundred eighty".