678680649400320 has 2304 divisors, whose sum is σ = 2817192520396800. Its totient is φ = 151822396293120.

The previous prime is 678680649400283. The next prime is 678680649400333. The reversal of 678680649400320 is 23004946086876.

678680649400320 is a `hidden beast` number, since 6 + 7 + 86 + 80 + 6 + 49 + 400 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×678680649400320² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2013889167192 + ... + 2013889167528.

It is an arithmetic number, because the mean of its divisors is an integer number (1222739809200).

Almost surely, 2^{678680649400320} is an apocalyptic number.

678680649400320 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 678680649400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408596260198400).

678680649400320 is an abundant number, since it is smaller than the sum of its proper divisors (2138511870996480).

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

678680649400320 is an equidigital number, since it uses as much as digits as its factorization.

678680649400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 678680649400320 in words is "six hundred seventy-eight trillion, six hundred eighty billion, six hundred forty-nine million, four hundred thousand, three hundred twenty".