687777041952 has 1920 divisors, whose sum is σ = 2974255054848. Its totient is φ = 149896396800.

The previous prime is 687777041899. The next prime is 687777041999. The reversal of 687777041952 is 259140777786.

687777041952 is a `hidden beast` number, since 6 + 87 + 77 + 70 + 419 + 5 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 687777041952.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1367349733 + ... + 1367350235.

Almost surely, 2^687777041952 is an apocalyptic number.

687777041952 is a gapful number since it is divisible by the number (62) 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 687777041952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487127527424).

687777041952 is an abundant number, since it is smaller than the sum of its proper divisors (2286478012896).

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

687777041952 is a wasteful number, since it uses less digits than its factorization.

687777041952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 687777041952 in words is "six hundred eighty-seven billion, seven hundred seventy-seven million, forty-one thousand, nine hundred fifty-two".