678782557440 has 1152 divisors, whose sum is σ = 2755926835200. Its totient is φ = 156823879680.

The previous prime is 678782557403. The next prime is 678782557483. The reversal of 678782557440 is 44755287876.

It is a happy number.

678782557440 is a `hidden beast` number, since 6 + 7 + 8 + 78 + 2 + 557 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 1118257617 + ... + 1118258223.

It is an arithmetic number, because the mean of its divisors is an integer number (2392297600).

Almost surely, 2^678782557440 is an apocalyptic number.

678782557440 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 678782557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377963417600).

678782557440 is an abundant number, since it is smaller than the sum of its proper divisors (2077144277760).

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

678782557440 is a wasteful number, since it uses less digits than its factorization.

678782557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 678782557440 in words is "six hundred seventy-eight billion, seven hundred eighty-two million, five hundred fifty-seven thousand, four hundred forty".