684135679500 has 1920 divisors, whose sum is σ = 2935486794240. Its totient is φ = 134817177600.

The previous prime is 684135679457. The next prime is 684135679523. The reversal of 684135679500 is 5976531486.

684135679500 is a `hidden beast` number, since 6 + 8 + 4 + 13 + 56 + 79 + 500 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 3954541414 + ... + 3954541586.

It is an arithmetic number, because the mean of its divisors is an integer number (1528899372).

Almost surely, 2^684135679500 is an apocalyptic number.

684135679500 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 684135679500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467743397120).

684135679500 is an abundant number, since it is smaller than the sum of its proper divisors (2251351114740).

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

684135679500 is a wasteful number, since it uses less digits than its factorization.

684135679500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 684135679500 in words is "six hundred eighty-four billion, one hundred thirty-five million, six hundred seventy-nine thousand, five hundred".