687016512000 has 2560 divisors, whose sum is σ = 3320247490560. Its totient is φ = 135895449600.

The previous prime is 687016511963. The next prime is 687016512011. The reversal of 687016512000 is 215610786.

687016512000 is a `hidden beast` number, since 68 + 70 + 16 + 512 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×687016512000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2673215872 + ... + 2673216128.

It is an arithmetic number, because the mean of its divisors is an integer number (1296971676).

Almost surely, 2^687016512000 is an apocalyptic number.

687016512000 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 687016512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660123745280).

687016512000 is an abundant number, since it is smaller than the sum of its proper divisors (2633230978560).

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

687016512000 is a wasteful number, since it uses less digits than its factorization.

687016512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 687016512000 in words is "six hundred eighty-seven billion, sixteen million, five hundred twelve thousand".