678237590016 has 960 divisors, whose sum is σ = 2516638924800. Its totient is φ = 171395481600.

The previous prime is 678237589979. The next prime is 678237590021. The reversal of 678237590016 is 610095732876.

678237590016 = 478³ + 479³ + ... + 1289³.

678237590016 is a `hidden beast` number, since 6 + 7 + 8 + 2 + 37 + 590 + 0 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 550964121 + ... + 550965351.

It is an arithmetic number, because the mean of its divisors is an integer number (2621498880).

Almost surely, 2^678237590016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678237590016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258319462400).

678237590016 is an abundant number, since it is smaller than the sum of its proper divisors (1838401334784).

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

678237590016 is a wasteful number, since it uses less digits than its factorization.

678237590016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 678237590016 in words is "six hundred seventy-eight billion, two hundred thirty-seven million, five hundred ninety thousand, sixteen".