687740377632000 has 4608 divisors, whose sum is σ = 3056948943519744. Its totient is φ = 132894720000000.

The previous prime is 687740377631987. The next prime is 687740377632029. The reversal of 687740377632000 is 236773047786.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 667061471485 + ... + 667061472515.

It is an arithmetic number, because the mean of its divisors is an integer number (663400378368).

Almost surely, 2^{687740377632000} is an apocalyptic number.

687740377632000 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 687740377632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528474471759872).

687740377632000 is an abundant number, since it is smaller than the sum of its proper divisors (2369208565887744).

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

687740377632000 is a wasteful number, since it uses less digits than its factorization.

687740377632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 60.

The spelling of 687740377632000 in words is "six hundred eighty-seven trillion, seven hundred forty billion, three hundred seventy-seven million, six hundred thirty-two thousand".