1685068070400 has 2160 divisors, whose sum is σ = 7572049076592. Its totient is φ = 354248294400.

The previous prime is 1685068070377. The next prime is 1685068070419. The reversal of 1685068070400 is 40708605861.

It is a happy number.

1685068070400 is a `hidden beast` number, since 1 + 68 + 506 + 80 + 7 + 0 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3080562927 + ... + 3080563473.

Almost surely, 2^{1685068070400} is an apocalyptic number.

1685068070400 is a gapful number since it is divisible by the number (10) 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 1685068070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786024538296).

1685068070400 is an abundant number, since it is smaller than the sum of its proper divisors (5886981006192).

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

1685068070400 is a wasteful number, since it uses less digits than its factorization.

1685068070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1685068070400 in words is "one trillion, six hundred eighty-five billion, sixty-eight million, seventy thousand, four hundred".