1689867073440 has 576 divisors, whose sum is σ = 7101398304000. Its totient is φ = 356344676352.

The previous prime is 1689867073429. The next prime is 1689867073441. The reversal of 1689867073440 is 443707689861.

1689867073440 is a `hidden beast` number, since 1 + 68 + 9 + 8 + 67 + 0 + 73 + 440 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1689867073441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 451955091 + ... + 451958829.

It is an arithmetic number, because the mean of its divisors is an integer number (12328816500).

Almost surely, 2^{1689867073440} is an apocalyptic number.

1689867073440 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 1689867073440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550699152000).

1689867073440 is an abundant number, since it is smaller than the sum of its proper divisors (5411531230560).

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

1689867073440 is a wasteful number, since it uses less digits than its factorization.

1689867073440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7229 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 1689867073440 in words is "one trillion, six hundred eighty-nine billion, eight hundred sixty-seven million, seventy-three thousand, four hundred forty".