678614941440 has 432 divisors, whose sum is σ = 2476234051200. Its totient is φ = 177891987456.

The previous prime is 678614941429. The next prime is 678614941441. The reversal of 678614941440 is 44149416876.

678614941440 is a `hidden beast` number, since 6 + 7 + 8 + 6 + 1 + 494 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×678614941440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678614941441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18332871 + ... + 18369849.

Almost surely, 2^678614941440 is an apocalyptic number.

678614941440 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 678614941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238117025600).

678614941440 is an abundant number, since it is smaller than the sum of its proper divisors (1797619109760).

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

678614941440 is an equidigital number, since it uses as much as digits as its factorization.

678614941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37074 (or 37048 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 678614941440 in words is "six hundred seventy-eight billion, six hundred fourteen million, nine hundred forty-one thousand, four hundred forty".