687995453376 has 448 divisors, whose sum is σ = 2527032913920. Its totient is φ = 178319232000.

The previous prime is 687995453371. The next prime is 687995453407. The reversal of 687995453376 is 673354599786.

687995453376 is a `hidden beast` number, since 6 + 8 + 7 + 9 + 9 + 545 + 3 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687995453371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65325231 + ... + 65335761.

Almost surely, 2^687995453376 is an apocalyptic number.

687995453376 is a gapful number since it is divisible by the number (66) 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 687995453376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263516456960).

687995453376 is an abundant number, since it is smaller than the sum of its proper divisors (1839037460544).

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

687995453376 is a wasteful number, since it uses less digits than its factorization.

687995453376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11061 (or 11045 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 687995453376 in words is "six hundred eighty-seven billion, nine hundred ninety-five million, four hundred fifty-three thousand, three hundred seventy-six".