687308764998240 has 3456 divisors, whose sum is σ = 3185846088961536. Its totient is φ = 138265989120000.

The previous prime is 687308764998239. The next prime is 687308764998241. The reversal of 687308764998240 is 42899467803786.

687308764998240 is a `hidden beast` number, since 6 + 8 + 7 + 3 + 0 + 8 + 7 + 6 + 499 + 82 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (687308764998239) and next prime (687308764998241).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 687308764998240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687308764998241) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 163605988140 + ... + 163605992340.

It is an arithmetic number, because the mean of its divisors is an integer number (921830465556).

Almost surely, 2^{687308764998240} is an apocalyptic number.

687308764998240 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 687308764998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592923044480768).

687308764998240 is an abundant number, since it is smaller than the sum of its proper divisors (2498537323963296).

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

687308764998240 is a wasteful number, since it uses less digits than its factorization.

687308764998240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 7023034368, while the sum is 81.

The spelling of 687308764998240 in words is "six hundred eighty-seven trillion, three hundred eight billion, seven hundred sixty-four million, nine hundred ninety-eight thousand, two hundred forty".