689280134400 has 1296 divisors, whose sum is σ = 2940723240000. Its totient is φ = 151820697600.

The previous prime is 689280134353. The next prime is 689280134429. The reversal of 689280134400 is 4431082986.

It is a happy number.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 551864976 + ... + 551866224.

Almost surely, 2^689280134400 is an apocalyptic number.

689280134400 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 689280134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470361620000).

689280134400 is an abundant number, since it is smaller than the sum of its proper divisors (2251443105600).

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

689280134400 is a wasteful number, since it uses less digits than its factorization.

689280134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 689280134400 in words is "six hundred eighty-nine billion, two hundred eighty million, one hundred thirty-four thousand, four hundred".