687189350400 has 1152 divisors, whose sum is σ = 2737624780800. Its totient is φ = 148753612800.

The previous prime is 687189350363. The next prime is 687189350459. The reversal of 687189350400 is 4053981786.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1766553406 + ... + 1766553794.

It is an arithmetic number, because the mean of its divisors is an integer number (2376410400).

Almost surely, 2^687189350400 is an apocalyptic number.

687189350400 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 687189350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368812390400).

687189350400 is an abundant number, since it is smaller than the sum of its proper divisors (2050435430400).

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

687189350400 is a wasteful number, since it uses less digits than its factorization.

687189350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 687189350400 in words is "six hundred eighty-seven billion, one hundred eighty-nine million, three hundred fifty thousand, four hundred".