681758532000 has 1920 divisors, whose sum is σ = 3244485404160. Its totient is φ = 136160870400.

The previous prime is 681758531963. The next prime is 681758532017. The reversal of 681758532000 is 235857186.

681758532000 is a `hidden beast` number, since 68 + 1 + 7 + 58 + 532 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 560195392 + ... + 560196608.

It is an arithmetic number, because the mean of its divisors is an integer number (1689836148).

Almost surely, 2^681758532000 is an apocalyptic number.

681758532000 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 681758532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622242702080).

681758532000 is an abundant number, since it is smaller than the sum of its proper divisors (2562726872160).

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

681758532000 is a wasteful number, since it uses less digits than its factorization.

681758532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 681758532000 in words is "six hundred eighty-one billion, seven hundred fifty-eight million, five hundred thirty-two thousand".