689686735172400 has 360 divisors, whose sum is σ = 2740757547790080. Its totient is φ = 157329274498560.

The previous prime is 689686735172381. The next prime is 689686735172467. The reversal of 689686735172400 is 4271537686986.

689686735172400 is a `hidden beast` number, since 6 + 8 + 9 + 6 + 8 + 67 + 3 + 517 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×689686735172400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14529690 + ... + 39880889.

It is an arithmetic number, because the mean of its divisors is an integer number (7613215410528).

It is a 1-persistent number, because it is pandigital, but 2⋅689686735172400 = 1379373470344800 is not.

Almost surely, 2^{689686735172400} is an apocalyptic number.

689686735172400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

689686735172400 is an abundant number, since it is smaller than the sum of its proper divisors (2051070812617680).

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

689686735172400 is a wasteful number, since it uses less digits than its factorization.

689686735172400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54411113 (or 54411099 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 689686735172400 in words is "six hundred eighty-nine trillion, six hundred eighty-six billion, seven hundred thirty-five million, one hundred seventy-two thousand, four hundred".