687235377205440 has 1792 divisors, whose sum is σ = 2840947458048000. Its totient is φ = 153165858177024.

The previous prime is 687235377205411. The next prime is 687235377205493. The reversal of 687235377205440 is 44502773532786.

687235377205440 is a `hidden beast` number, since 6 + 8 + 7 + 2 + 3 + 537 + 7 + 2 + 0 + 54 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 126866413612 + ... + 126866419028.

It is an arithmetic number, because the mean of its divisors is an integer number (1585350144000).

Almost surely, 2^{687235377205440} is an apocalyptic number.

687235377205440 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 687235377205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420473729024000).

687235377205440 is an abundant number, since it is smaller than the sum of its proper divisors (2153712080842560).

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

687235377205440 is a wasteful number, since it uses less digits than its factorization.

687235377205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859 (or 5843 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 63.

The spelling of 687235377205440 in words is "six hundred eighty-seven trillion, two hundred thirty-five billion, three hundred seventy-seven million, two hundred five thousand, four hundred forty".